Mathematics High School

Is (x-4) a factor of f(x)=x^3- 2x^2 + 5x +1. use either the remainder theorem or the factor theorem to explain your reasoning

Answers

Answer 1

If x - 4 is a factor then x = 4 is a root:

f(4) = 4^3 - 2 * 4^2 + 5 * 4 + 1

= 64 - 32 + 20 + 1

= 53

since f(4) is not zero then 4 is not a root of the f(x)

Also, x - 4 is not a factor

In algebra, the remainder theorem, or Bezout's small theorem, applies the principle of polynomial division. It states that the remainder of dividing the polynomial f (x) by the linear polynomial {\ display style x-r} is equal to {\ display style f (r). }

In algebra, a factor set is a set of factors and roots of. Polynomial. This is a special case of the remainder theorem. The factor theorem shows that the polynomial f (x) has a factor only if f = 0.

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Related Questions

Vincent had 97 rocks in his collection. He found 48 more at the beach. How many did he have in all ?

Answers

Answer:

145

Step-by-step explanation:

97+48

7+8=15

9+4+1=14

145

A newspaper invited readers to call a telephone number and record their comments. The next day they reported that readers overwhelmingly prefer two-way traffic flow to one-way streets. This is an example of: A. A convenience sample B. A self-selected sample C. A systematic sample D. A random sample does anyone know the answer

Answers

Answer: Self selected sample

Step-by-step explanation:

They people chose themselves

This is an example of: B. A self-selected sample , Option B is the answer.

What is a self-selected sample ?

A self selected sampling technique is one in which the researcher puts out a call or publicises so that individuals and organisations can take part in the survey on their own will which saves the time for searching for the appropriate people .

It is given that

A newspaper invited readers to call a telephone number and record their comments.

This is an example of: B. A self-selected sample

Therefore Option B is the answer.

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how muck is in kilograms?

Answers

Answer:

1000grams= 1 kilogram

Step-by-step explanation:

Answer:

1000 grams = 1 Kilo

A 45 ounce box of cereal costs $3.99. Find the unit price. Round your unit
price to the nearest cent if needed.

Answers

Answer:

0.1125 ounces per cent

59:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
39
15
36
Find tan A
a
5
tan A =
13
C.
5
tan A -
12
b.
13
d.
12
tan A =
tan A -
5

Answers

Answer:

Step-by-step explanation:

10 + 2.5x > 35 please help meeee

Answers

[tex]x > 10[/tex]

Step-by-step explanation:

1) Subtract 10 from both sides.

[tex]2.5x > 35 - 10[/tex]

2) Simplify 35 - 10 to 25.

[tex]2.5x > 25[/tex]

3) Divide both sides by 2.5.

[tex]x > \frac{25}{2.5} [/tex]

4) Simplify 25/2.5 to 10.

[tex]x > 10[/tex]

Therefor the answer is, x > 10.

Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for

Answers

Ans: 1205.76 units^3

Explanation:

Volume of cylinder

= base area x height

= 3.14 x 8² x 6

= 3.14 x 64 x 6

= 1205.76 units^3

In this question, I used 3.14 instead of π.

Base area = πr²

Hope it helps :), mark me brainliest please!

Distance between (-1,-2) and (8,0)

Answers

Answer:

9.219544

Step-by-step explanation:

(8 - -1)^2 + (0 - -2)^2 = 85, sqrt 85 = 9.219544

Answer:

Step-by-step explanation:

Distance formula : d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((8-(-1))²+(0-(-2))²)

d=√((9)²+(2)²)

d=√(81+4)

1017.88inches^2

Step-by-step explanation:

Area of a circle=pi * radius^2

324*pi=1017.88

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

Answers

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Im willing to give 20 points maybe even more

A teacher purchased 20 calculators and 10 measuring tapes for her class and paid $495. Later, she realized that she didn't order enough supplies. She placed another order of 8 of the same calculators and 1 more of the same measure tape and paid $178.50.

The system represents the situation

`20c+10m=495`

`8c+1m=178.50`

Find the cost of one calculator and the cost of one measure tape using one of our methods of solving systems.

Answers

Answer:

Equations are

20c + 10m = 495..............(1)

8c + 1m = 178.5.................(2)

Now , equation (2) * 10 = 80c + 10m = 1785...........(3)

So, Eq. (3) - Eq(1) =

80c + 10m - 20c - 10m = 1785 - 495

60c = 1290

c= 21.5

********************************************************

Now place the value of c in Eq (2)

So , m =6.5

Mark my answer as brainlist answer

Step-by-step explanation:

Please I need help with these questions its Algebra

Answers

1. 14/3

2. 9

4. 5

5. 15

(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)

I NEED HELP ASAP WILL GIVE BRAINLYEST

Answers

Answer:

-8

Step-by-step explanation:

First simplify the expression to -(2^5)^3/5. Then you get -2^3, which is simplified again to -8.

Solve the inequality:

-15 + 5x > 25

Answers

Answer:

x > 8

Step-by-step explanation:

-15 + 5x > 25

Add 15 on both sides

5x > 40

x > 8

Answer:

here

Step-by-step explanation:

inequality form ---- x>8

interval form ----- (8,infinite)

Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.

Part A
Write a function for the amount that will be in the account after t years.

Part B
What is the value of the account after 8 years?

Answers

a) The function is given as follows: [tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]

b) The value of the account after 8 years is given as follows: $7,384.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.

The parameter values for this problem are given as follows:

P = 5280, r = 0.042, n = 12.

Hence the equation is given as follows:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

Answer:

hope it helped

have a good day

You get scores of 72 and 88 on 2 science tests. You have to have an average of at least 85 to not be grounded by your parents. What score do you need to make on your next test to not be grounded?

Answers

Answer:

Step-by-step explanation:

72+88+95=255:3= 85

Answer: 95
1. Add both test scores (72 & 88) together. You get 160
2. Then you divide 160 by 2. You get an average of 80.
3. When you add 72, 88, and 95 together you get 255.
4. You then divide 255 by 3
5. You get an average of 85

Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5,6
C.3/16,9/48
D.6/15,4/10

Answers

Answer:

b is correct

Step-by-step explanation:

as 7/8 can't be further simplified and it is not making equivalent with 5/6

hope it helps you

please mark me as brainlist

HELP ASAP! EXPONENTIAL FUNCTIONS

Answers

it is the yellow one

this question is hard help..........

Answers

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

.OOF Sorry im not good in math

Mrs. Beppu's property has four sides. An aerial view of her property is shown below. What term best describes the shape of her property?

Answers

Answer:

rectangle

Step-by-step explanation:

From the picture attached below of the aerial view of Mrs. Beppu's house we can see that it is a rectangle. That is because it has 4 sides with only the parallels being the same size. Meaning that both the width and the length of the house are not the same. This removes the possibility of it being a square. Since all the angles seem to be right angles it also removes the possibility of it being a trapezoid. The best choice would be that it is a rectangle.

What is the domain of the function y = 2e graphed below?

Answers

Answer:

All Real Numbers

General Formulas and Concepts:

Algebra I

Interval NotationDomain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph and function y = 2eˣ, we see that our x-values span from negative infinity to positive infinity. We also see that we can plug in any number x into our function:

(-∞, ∞)

All Real Numbers

Answer: D) all real numbers

Step-by-step explanation:

Other Questions

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