Write the polynomial in factored form. Show all the steps that you use to solve this problem.

x^3 - 3x^2 - 10x

Answers

Answer 1

Answer:

x( x - 5)( x + 2)

Step-by-step explanation:

The polynomial is x^3 - 3x^2 -10x. Since each term has at least one x, we can factor out an x.

This gives us x( x^2 - 3x - 10).

Now, we may factor the second degree polynomial.

_ × _ = -10? (or a × c, where ax^2 + bx + c?)

_ + _ = -3? (or b?)

Well, -5 times 2 equals 10, and -5 plus 2 equals -3.

We use these values to factor further.

So, our final answer becomes x( x - 5 )( x + 2 ).

You can check this by simply multiplying and distributing the terms!

I hope this helped! :)


Related Questions

A school buys 672 rulers to share among 21 classrooms. Each classroom gets the same number of rulers. How many rulers does each classroom get?

Answers

Divide rulers by rooms:


672/21 = 32

Each room gets 32 rulers

Answer:

32 rulers per classroom

Step-by-step explanation:

672rulers ÷ 21 classroom

=32 rulers per classroom

A trend line passes through the points (-4, 9) and (1, -1). What is the equation of the trend line?

Answers

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Answers

Answer:

GHJK=-240

Step-by-step explanation:

G=-4

H=-2

J=-6

K=5

[tex]-4*-2*-6*5=-240[/tex]

GHJK=-240

I think this is how you do it????

Answer:

-240

Step-by-step explanation:

Given;

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Substitute:

GHJK ⇒ (-4)(-2)(-6)(5)

(-4)(-2)(-6)(5)

(8)(-6)(5)

-48(5)

-240

~Learn with Lenvy~

WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST

Answers

Answer:

9

Step-by-step explanation:

The correct answer would be 9

how to write a sine function that has an amplitude of 5 a midline of 4 and a period of 2/7

Answers

Answer:

sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)

Step-by-step explanation:

The radius of a circle is 2 centimeters. What is the circle's area?

Answers

Answer:

12.56

Step-by-step explanation:

2x2=4

4×3.14=12.56

area = 12.56

1. What is the difference between a line and a line segment?
A. A line is a figure formed by two opposite rays with a shared endpoint, a line segment is a part of
a line that extends forever in one direction.
B. A line is a specific location that is represented by a dot, a line segment is a specific location
represented by two dots.
C. Aline is a portion of a line consisting of two points and all the points between them, and a line
segment is a figure formed by two opposite rays.
D. Aline is a figure formed by two opposite rays and a shared endpoint, and a line segment is a
portion of a line consisting of two points and all the points between them.

Answers

Answer: Choice DA line is a figure formed by two opposite rays with a shared endpointA line segment is a portion of a line consisting of two points and all points between them.

Explanation:

Basically a line goes on forever in both directions. A ray only goes off forever in one direction. If we glue together two rays that point in complete opposite directions (eg 1 points north, the other points south) then we form a line.

A line segment is a piece of a line. It doesn't go on forever in either direction. It has 2 endpoints and has a set fixed length. If you know the coordinates of each endpoint, you can use the distance formula to find that length.

4 in
2 in
Hot wewn to see
What are the dimensions of the enlarged rectangle
What are the dimensions of the enlarged rectangle

Answers

Answer:

the dimensions are for in plus two in is equal to 6n

Select the correct answer.
Which number line shows the solution to this compound inequality?
0<2x + 6 < 16
OA. HE
-10 -8
-6 -4 -2 0 2 4
6
8
10 12 14
B. +++
- 10 -8
-6 -4
-2
0
2
4
6
8
10 12 14
Oc. + +
-10 -8
++
10 12 14
-6 -4 -2
0
2
4
6
8
OD.
httot
-10 -8 -6 -4 -2 0
2
4
6
8
10 12 14

Answers

Answer:

C.

Step-by-step explanation:

pa brnlst hehehheeh

thx m ltr

can i please get some help!!

Answers

Answer:

3 cis(43)

Step-by-step explanation:

When we divide number in polar form, we divide the modulus, and subtract the degrees.

36/12=3

45-2=43

3 cis(43)

Which number line best shows the position of 17?
0

J7
+++
+++
||||
-2 -1 0 1 2 3 4
-4
-3
7
01- ++ --
-4 -3 -2 -1 0 1
2 3
4

7
-- + Att
-2 -1 0 1 2 3 4
-4 -3
-
-
+- ?
-
+++
-3 -2 -1 0 1
7
| |--
2 3 4 5
-5 4

Answers

Answer:

C

Step-by-step explanation:

The square root should be about half of that number so half of 7 is 3.5.


The volume of a cone is 30 pi cubic inches. If the radius of the cone is 3 inches, determine its height.

Answers

The cone height formula calculates the height of the cone. The height of the cone using cone height formulas are, h = 3V/πr 2 and h = √l2 - r2, where V = Volume of the cone, r = Radius of the cone, and l = Slant height of the cone.

In AUVW, u = 55 inches, w = 43 inches and angle W=134^ . Find all possible values of angle U , to the nearest degree .

Answers

I like marshmallows and weird fives eat food

3. Mrs. Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the anount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. *please show plug in step*

Answers

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

Exponential equations

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Po is the initial deposit = $1600Rate "r" =3.75% = 0.0375time "t" = 5 years

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

learn more on compound interest here: https://brainly.com/question/24924853

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Which is a tangent of circle P?pls helpt ASAP!!!!

Answers

Answer: Choice C)  line n

Explanation:

Tangent lines touch the circle at exactly one point.

Writing Linear Equations

Answers

Answer:

1.  y=-3x+7

2.  y=3/4x+10

3. y=-5x-2

4. y=12x-6

5. y=1/2x+9

Step-by-step explanation:

for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.

Find the slope of the line graphed

Answers

Answer:

1. 5/-2

2. 0/1

3. 6/2

Step-by-step explanation:

rise/run when calculating slope

What is the volume of the pyramid shown below?
A. 294 cu. units
B. 1008 cu. units
C. 196 cu. units
D. 112 cu. units

Answers

Answer:

C) 196 cu. units

Step-by-step explanation:

Volume = lwh/3

             = 7 x 7 x 12 / 3

              =  588/3

              = 196

The volume of a square pyramid is 196 cubic units.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

From the given figure, side of square base is 7 units and height is 12 units.

We know that, the volume of square based pyramid =a²h/3.

Now, volume of a pyramid = 1/3 ×7²×12

= 49×4

= 196 cubic units

Therefore, the volume of a square pyramid is 196 cubic units.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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(1.8 dollars)/(1 euro) = (x dollars)/(200 euros)

Answers

Answer:

300 dollars

Step-by-step explanation:

$1.8=£1/x dollars=£200

cross multiplying

x=200×1.8

x=$360

Answer:

218.26

Step-by-step explanation:

1 [tex]\frac{913}{10000}[/tex]  USD = 1 EURO.

I calculated it on E to USD calculator.

The value of 8 in 5.18 of the value of 8 in 5.81

Answers

Answer:

the value of 8 in the first one is 8

in the second one is 80

circumference of a clock with the radius of 16 centimeters?

Answers

Answer:

100.5309649cm

Step-by-step explanation:

The formula for the circumference of a circle is:

2πr

if the radius is 16cm, we just need to substitute 16 for r:

2π(16)

= 32π

= 100.5309649cm

You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)

Why do you think y= ax+b is called a linear equation
Please help

Answers

Answer:

Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.

Step-by-step explanation:

For example, y=7x+9,

When x is 1 y is 16, and

when x is 2 y is 23.

When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.

Step-by-step explanation:

Hey there!

Reason:

The power of the term is one.It can be graphed in a at. line on graph.

You can simply define linear equation as the equation which has two variables with 1 exponent.

So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.

Hope it helps..

8 rabbits=5.5 squirrels
18 deer=2.25 bear
4 hippos=75 groundhogs
How many hippos are in 65.25 rabbits?

Answers

Answer:

he bouyancy Force of the hippo using the bouyancy force relation is 24107.1 N.

Given the Parameters :

Density of water = 1 kg/m³

Mass of hippo = 2500 kg

Volume = 2.46 m³

The bouyancy Force is defined as,  :

Density of hippo =

Substituting values into the relation :

Therefore, the bouyancy Force is 24107.1 N

Learn more :brainly.com/question/14604866

Step-by-step explanation:

Need help asap!!
First right answer will get brainliest

Answers

answer:

B and C are correct.

explanation:

[tex]\hookrightarrow \sf x^2-5x+5[/tex]  where ax² + bx + c

\\ Thus we can determine a = 1, b = -5, c = 5 \\

using quadratic equation:

[tex]\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]

[tex]\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]

[tex]\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}[/tex]

Answer:

B and C

Step-by-step explanation:

[tex]x^2-5x+5=0[/tex]

⇒ a = 1, b = -5, c = 5

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{5\pm\sqrt{(-5)^2-4\cdot 1 \cdot 5} }{2\cdot 1}[/tex]

[tex]\implies x=\dfrac{5\pm\sqrt{5}}{2}[/tex]

Suppose f(x) is a function such that if p O f(x) can be odd or even.
O f(x) can be odd but cannot be even.
O f(x) can be even but cannot be odd.
O f(x) cannot be odd or even.

Answers

Answer: f(x) can be odd but cannot be even. I know this because I looked it up, but I hope this helps :)

complete the square to make a perfect square trinomial. Write the result as a binomial square. a^2-20a​

Answers

Answer:

(a-10)^2 = 10^2

Step-by-step explanation:

a^2-20a=0

a^2-20a+100=100

(a-10)^2=100

Evaluate the integral of
X-1/ (x+1) (x^3 + x^2 + x )^0.5

:)

Answers

Add and subtract 1 in the numerator then cancel x-1
Remains 2 / (x^3 + x^2 +x)^0.5
Take root x outside then complete the square
You will find the answer

The set of all numbers less than or equal to -1.

Answers

Answer:

anything before -1 is lower than -1.  -1 = -1

Step-by-step explanation:

-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1

Set B represents the set of all the natural numbers less than or equal to -1

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set is represented by K

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

In Mathematics a set is  a collection of objects/elements that are constrained by some particular condition.

Let us consider a situation where "S" is the set and the elements are represented by "x"

A set is always denoted in curly braces. Expression (1) represents the set

[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)

Set S  has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]

The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including  -1.

So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

Set B represents the set of all the natural numbers less than or equal to -1

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set becomes  

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

For more information please refer to the link below

https://brainly.com/question/4801204

please read and answer the following:

Answers

The last one is the answer!!
(x+7)^2 +(y-11)^2=64

Step-by-step explanation:

here

radius of circle(h,k)=(-7,11)

so ,h=-7

and k=11

r=8

we know that,

(x-h)^2+(y-k)^2=r^2

(X+7)^2 + (y-11)^2= 8^2

X^2+14x+49 +y^2-22y+121= 64

x^2+y^2+14x-22y+106=o is the equation of circle .

Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.

Solve -17 + n/5 = 33. steps plsss

Answers

Answer:

17=n<

Step-by-step explanation:

17

Answer:

Step-by-step explanation:

17+ n/5=33

17+33-n/5

N= 50..

50/5

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