verify that 1,-1,-3 are the zeroes of the cubic polynomial x3+3x2-x-3 and check the relationship between zeroes and the coefficient​

Answers

Answer 1

Answer: yea its 123445

Step-by-step explanation:

Answer 2

1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

What is a Polynomial?

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.

As per the given data:

We are given the equation of a cubic polynomial x³ + 3x² - x - 3.

The zeroes of the given cubic polynomial are also given.

We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient​.

For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).

Checking the given zeroes similarly:

For 1:

1³ + 3(1)² - 1 - 3 = 0

1 + 3 - 1 - 3 = 0

0 = 0

1 is a zero

For -1:

(-1)³ + 3(-1)² - (-1) - 3 = 0

-1 + 3 + 1 - 3 = 0

0 = 0

-1 is a zero

For -3:

(-3)³ + 3(-3)² - (-3) - 3 = 0

-27 + 27 + 3 - 3 = 0

0 = 0

-3 is a zero

For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to

= (-b)/a

Similarly, for x³ + 3x² - x - 3:

1 + (-1) + (-3) = (-3)/1

1 - 1 - 3 = -3

-3 = -3

1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

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Related Questions

How are the triangles congruent? A) not congruent B) ASA C) SAS D) AAS

Answers

Answer:

A) not congruent.    You only know one side and one angle to be congruent.

Step-by-step explanation:

A triangle has a height of 24km and a base of 18km. What is the area of the figure?

Answers

Answer:

216 square km

Step-by-step explanation:

24 x 18 / 2 =

432 / 2 =

216 km square

Hope that helps!

Answer:

225 [tex]km^{2}[/tex]

Step-by-step explanation:

Susan's math teacher assigned x homework problems on Monday. On Tuesday, she assigned 15 more problems. Over the two
days, a total of 24 homework problems were assigned. Which equation could be used to find x, the number of problems assigned on
Monday?

A. 15x=24

B.24+x=15

C. x+15=24

D.x-15=24

Answers

Answer:

C

Step-by-step explanation:

We know that there were 24 questions in the 2 days

And we know that tuesday had 15 more question.

That means Monday had "x questions" + the 15 on tuesday to get 24 in total.

The answer is C because need to add 15 to Monday to get the answer which is 24

adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road. Their hikes are represneted on the graph below.

Answers

Answer:

45

Step-by-step explanation:

Simplify.
56bc
64cd
I need ASAP

Answers

Answer:

8c(7b + 8d)

Step-by-step explanation:

Supposing that you are ADDING these terms, you have 56bc + 64cd.  This can be factored as follows:  56bc + 64cd = 8c(7b + 8d)

PLLLLZxxXXZZ I REALLY NEED HELP DONT ANSWER RANDOM THINGS PLZ

Answers

Answer:

its B

Step-by-step explanation:

Answer:

i got A for both of them ^^

for #1 you would do 8(1/2÷2)-(1/4+4)

and for #2 its 7(2.5) - (12/3+6)

A local car dealership is holding a year-end event because new car models have just been released. Declan has $35,000 to spend on a car. The car Declan decides to buy for his family costs $35,000. However, it is part of the year-end event, which means he receives a 15% discount on the new car. Declan plans to put the money he saves on the car into a new bank account. The bank account has a yearly simple interest rate of 4%, paid at the end of each year. If Declan does not add any other money to this bank account, it will take

Answers

Answer:

6 years

Step-by-step explanation:

The computation of the time period is given below:

As we know that

Future value = Present value × (1 + rate of interest)^time period

$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period

$6,720 = $5,250 × 1.04^time period

1.28 = 1.04^time period

So, the time period is 6.29 years i.e. 6 years

hence, the time that should be taken is 6 years

h is 60% of m.
Also, r is 75% ofm.
Work out h as a percentage of r.

Answers

Answer:

h=0.6m

r=0.75m

h=0.6m/0.75m*100 percent of r.

h=6000/75% of r

h=80% of r

Step-by-step explanation:

The expression of h as a percentage of r would be as;  80% of r.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

WE are given that h is 60% of m.

Also, r is 75% of m.

WE need to find out h as a percentage of r.

Therefore, h=0.6m

r=0.75m

Now we can write as;

h = 0.6m/0.75m x 100 percent of r.

h = 6000/75% of r

h = 80% of r

Hence, the expression of h as a percentage of r would be as;  80% of r.

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help my peleas
[tex]25 = {c}^{2} [/tex]

Answers

Answer:

5

Step-by-step explanation:

[tex]c^{2}[/tex] = 25

[tex]\sqrt{c} = \sqrt{25}[/tex]  /take square root of both sides

c = 5    /square root of 25 is 5

pls help me with this multiple choice !

Answers

Answer:

Step-by-step explanation:

Cdd

Answer:

B

Step-by-step explanation:

[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]

Andre paid $17,520 for a new car. He will make equal payments each month for 4 years. What will be Andre’s monthly car payment?

Answers

Answer:

$12

Step-by-step explanation:

because,

365=year

365*4= 1460

17,520/1460=$12

Which statement below is an example of the
Associative Property of Addition?
A. 7+(3+5)= 7+(5+3)
B.9+(11 + 6) = (9 +11) + 6
C. 3(6+5) = 3.6+3.5
D. 12(8 + 4) = 12(8) + 12(4)

Answers

Answer:

B

Step-by-step explanation:

Let say, a=9,b=11,c=6

Then associative properties says that every element is related to each other, here "b" associates a &c.

Therefore, a is related to b+c

c is related to a+b

What does 2.8- 4.4n- 2n + 7 equal?

Answers

Answer:

2.8- 4.4n- 2n + 7 = -6.4n + 9.8

Step-by-step explanation:

combined like term:

-4.4n - 2n = -6.4n

2.8 + 7 = 9.8

so all you do is combined together and got -6.4n + 9.8

i believe it equals 9.8-6.4n

sorry, im not very good at explaining how i solved it!! D:

but i hope this helped you out :)

Z+br=p if you are solving for b

Answers

Answer: b=p/r-z/r

Step-by-step explanation:

make sure the p/r is a fraction and so is z/r. p goes on top r goes on bottom, minus z over r

Write two expresiones that are equivalent to -5/4x - 3/4

Answers

Answer:

Two expressions that are equal to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex] is -([tex]\frac{5}{4} x + \frac{3}{4}[/tex]) and [tex]\frac{1}{4}[/tex] (-5x - 3)

Step-by-step explanation:

Both expressions use the distributive property and take out -1 and [tex]\frac{1}{4}[/tex] from each expression to form equivalent expressions to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex].

What is the value of y when x = 4?

Answers

Answer:

I think there is no y-intercept bc all they give you is x ( don't even have slope either) but I could be wrong...sorry

Q8.

a. xy = 24, since (3)(8) = 24

b. 4y = 24

Y = 24 ÷ 4

Y = 6

NB: I think I figured it out ^-^ I hope this helps!

Which expression is equivalent to 2.2m2 – 3.5(4m – 1.4) + 3.6(8m2 – 4.5m)?

Answers

Answer:

31m2−30.2m+4.9

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is

31m² - 30.2m - 4.9

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m)

Remove the parenthesis.

2.2m² - 3.5 x 4m - 3.5 x 1.4 + 3.6 x 8m² - 3.6 x 4.5m

2.2m² - 14m - 4.9 + 28.8m² - 16.2m

Combine the like terms.

31m² - 30.2m - 4.9

Thus,

The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is

31m² - 30.2m - 4.9

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Pleaseee helpp answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!!!! P equals what ??????

Answers

Answer:

P = 2t + 2u + 2v + 4w

Step-by-step explanation:

[tex]P =t + t + u + u + v + v \\ + w + w + w + w \\ \\ P = 2t + 2u + 2v + 4w \\ [/tex]

I NEED HELP ASAP!!!!!
Solve the equation and show your work.

Here's the problem: 4x + 3x - 3(4x - 8) = 14

Step 1.) Eliminate parentheses by distributing the -3.

Step 2.) Collect any like terms on the left side of the equation.

Step 3.) Subtract 24 from both sides of the equation.

Step 4.) Divide both sides of the equation by -5.

Answers

Answer:

Step-by-step explanation:

x=2

This is how to solve it

Find the gradient of the line segment between the points (1,2) and (3,-10)

Answers

Gradient = (-10-2)/(3-1) = -12/2 = -6

17)
In the coordinate plane, the endpoints of a line segment are (-12, 9) and (16, -5). What is the midpoint of the line segment?
A
(2, 2)
B
(-2,2)
(4.-2)
D

Answers

The answer is A. (2,2)

so basically what i did was 16-(-12)=28 and then divide 28 by 2 which is 14 and i went 14 points positive from -12 to find the midpoint, which is 2.

The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $21,000.00, how much was the car worth when she bought it?

Answers

Answer

$23,333

Step-by-step explanation:

100% - 10% = 90%

90% = 0.90

21000/.90 = $23,333

At Keller's Bike Rentals, it costs $34 to rent a bike for 9 hours. How many dollars does it cost per hour of bike use?

Answers

Answer: $3.77

Step-by-step explanation:

how can I find the smallest division of a measurement without a ruler? for eg. 12.45cm, what's the smallest division? ​

Answers

Answer:

Step-by-step explanation:

mm

What is an equation of the line that passes through the points (-4,3)
and (-8,0)?

Answers

Answer:

Step-by-step explanation:

Slope of line passing through (-4, 3) and (-8, 0) = (3-0)/(-4-(-8)) = 3/4

Point-slope equation for line of slope ¾ that passes through (-8, 0):

y-0 = ¾(x+8)

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

Quadrilateral EFGH is a rectangle.

Therefore, measure of all interior angle of the rectangle = 90°

7). m∠FEG + m∠GEH = 90°

    57° + m∠GEH = 90°

    m∠GEH = 90° - 57°

    m∠GEH = 33°

Diagonal of the rectangle are equal in measure and bisect each other.

8). m(FH) = m(FK) + m(KH)

               = 32 + 32 [Since, FK ≅ KH]      

               = 64

9). m∠FGH + m∠EFG = 90° + 90°

                                   = 180°

MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.

10). m∠MRN = 90°

11). m(PR) = 12

    Therefore, m(RN) = 12

"Diagonals of a rhombus bisect the opposite angles"

12). m(∠PON) = 124°

   Therefore, m(∠POM) = 124°

"ABCD is an isosceles Trapezoid"

13). Therefore, ∠C ≅ ∠D

14). AB║CD

15). AD ≅ BC

Min swims 4 7/10 laps on Tuesday and 3 5/10 laps on Wednesday . Jessica swims 5 3/10 laps on Tuesday and 4 2/10 laps on Wednesday how many laps did Jessica swim then Min

Answers

Min: 4.7+3.5 = 8.2
Jess: 5.3+ 4.2 = 9.5
9.5-8.2 = 1.3
Jessica swam 1.3 (1 3/10) laps more than Min.

Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%

B.
67%

C.
0.6

D.
2/3

Answers

Answer: 40%

Step-by-step explanation:

A p e x

Answer:

40% A.

Step-by-step explanation:

Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm
10
14 cm

Answers

Cylinder's volume = 1330.5 cm^3

Step-by-step explanation:

radius, r = diameter, d / 2

= 11/2

= 5.5 cm

Volume = π r^2 h

= π × 5.5^2 × 14

= 423.5π

= 1330.5 cm^3

Answer: volume is 1330.5cm3 (1dp)
Explanation:
V=pi x r2 x h
V=pi x 5.5squared x 14
V=1330.46
V= 1330.5cm3

1. The graph of a LINEAR FUNCTION is a _______
A. Parabola
B. Point
C. Line
D. Circle

2. Which of the following are linear equations in two variables?
(a.) 2x + 3y = 12
(b.) x² +3y=4
(c.) y= 3x² -4
(d.) y² =16

3. Which of the following linear equations is in Standard form? (Ax + By =C)
A. Y= 7x + 3
B. 3x –5y= -5
C. - x + 7y =2
D. 4y -x = 0

4. What is the value of y in the equation
x -2y =4 given that x=8?
A. -4
B. -2
C. 2
D. 4

5. in the equation 2x + 3y = 7‚ when y=1, which would be the corresponding value of x?
A. -2
B. 0
C. 2
D. 4

6. which of the following ordered pairs is a
solution to the linear equation x-2y = 12?
A. (16,2)
B. (-8, -1)
C. (14,-1)
D. (4,-3)

7. which of the following is NOT a solution of the linear equation 3x -5y =-2?
A. (2,1)
B. (1, 1)
C. (6,4)
D. (16,10)

8. the steepness of the line also known as rise over run is called
A. linear equation
B. linear function
C. linear inequality
D. slope

9. which of the following equation is to be used in finding for slope of the given linear equation standard form?
A. m=A/ B
B. m= -A/B
C. m= B/-A

10. find the slope of the line that corresponds to the equation y=7x–5.
A. –5
B. 7x–5
C. 7
D. 7x

11. in the equation y= -2x +6, what is the slope?
A. -2
B. -1
C. 2
D. 6

12. in the equation y= 3x – 2, what is the y- intercept?
A. 3
B. -3
C. 2
D. -2

13. which of the following linear equations
is in slope-intercept form? (y=mx + b)
A. y= 9x – 23
B. x=3y+10
C. 2x+2y=2
D. x+7y=1

14. which of the following linear equations is in standard form? (Ax + By =C)
A. –x+7y=14
B. y=7x–14
C. 8y–x=16
D. 2x–9y=–6

15. which of the following is the standard form of y=11x+3 ?
A. 11x–y=3
B. –11x+y=–3
C. –11x+y=3
D. 11x–y=–3

=mclm=​

Answers

Answer:

1.Line

2.A

3. c

4.2

5.2

6. a

7.A

8.Slope

9.C

10.B

11.D

Step-by-step explanation:

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