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

Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)

Answers

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

Answer:

hope it helped

have a good day

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

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

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

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.

Si 2X -7 = 3, luego 3X + 1 =

(1) 4
(2)5
(3)7
(4)12
(5)16

Answers

Answer:

2x-7=3

2x=3+7

{2x=10}÷2

x=5

꧁꧁꧂꧂

3x+1=

{3x=1}÷3

x=1/3

how muck is in kilograms?

Answers

Answer:

1000grams= 1 kilogram

Step-by-step explanation:

Answer:

1000 grams = 1 Kilo

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 8463160

Step-by-step explanation:

Answer:

8463160

Step-by-step explanation:

                https://byjus.com/rounding-to-the-nearest-tenth-calculator/

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

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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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:

95

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

Find the area of the circle 18in

Answers

1017.88in^2

You need to use pi

Answer:

1017.88inches^2

Step-by-step explanation:

Area of a circle=pi * radius^2

324*pi=1017.88

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)

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.

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:

(-∞, ∞)

or

All Real Numbers

Answer: D) all real numbers

Step-by-step explanation:

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)

d=√(85)

d = 9.21954445729

Dont be shy- drop the answer :)

Answers

Answer:

-11x = -55

x = 5

Step-by-step explanation:

Hope that helps!

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!

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 :|)

coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?

Answers

Answer:

$180

Step-by-step explanation:

$225 times .20 = 45 .   225-45=180

Answer:

$180

Step-by-step explanation:

Find 1% of the price.

100% = 225

1% = 225 ÷ 100 = 2.25

100 - 20 = 80% (Percentage of sale price)

80% = 2.25 x 80 = 180

1. Which of the following equations would NOT contain the point (4,12)?
A. y=-1/2x+14
B. y=1/2x+8
C.y=-2x+20
D.y=3/4x+9

Answers

Answer:

the answer is b hope this helps :)

Find the original price.
The discount on a toy robot is 40%. The toy robot is on sale for $54?

Answers

Answer:

$75.60

Step-by-step explanation:

Well, I don't exactly know why, but I know that you need to 54 multiply by 1.40 to get the answer.

Answer:

$75.60

Step-by-step explanation:

54 increase 40% =

54 × (1 + 40%) = 54 × (1 + 0.4) = 75.6

.
Simplify the radical expression.



−4x2

2x2

−2x2

4x2

Answers

2x^2 ( the second one ) :-)

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]

[tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]

The value of the account after 8 years is obtained as follows:

[tex]A(8) = 5280\left(1 + \frac{0.042}{12}\right)^{12 \times 8}[/tex]

A(8) = $7,384.

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

Answers

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

.OOF Sorry im not good in math

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:

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:

CAN SOMEONE HELP LIKE RN I NEED IT QUICK

Answers

I’m pretty sure it’s 60

HELP ASAP! EXPONENTIAL FUNCTIONS

Answers

it is the yellow one

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.

Other Questions
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When observations are drawn at random from a population with finite mean , the Law of Large Numbers tells us that as the number of observations increases, the mean of the observed valuesA. gets larger and larger.B. fluctuates steadily between one standard deviation above and one standard deviation below the mean.C.gets smaller and smaller.D. tends to get closer and closer to the population mean . if a patient entered who shows signs of blood veins heavily dilated in their eye, you would conclude they had Which of these support management concerns directly affects the support staff's job? a. The support mission statement c. Staffing the support group b. Support performance measures d. All of these A deed conveyed the NE 1/4 of Section 18 and the NW 1/4 of Section 20, Are these parcels contiguous? How many acres were conveyed? A straw is placed inside a rectangular box that is 10 inches by 6 inches by 7 inches, as shown. 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CI CO2H The alternative route is:1) Mg 2) CO, 3) H, 0+1) H,02) K, Cr, 1) NaOH 2) K, CEO, 1) NaH 2) HCOH A human eardrum has an area of roughly 70 mm^2 and generally ruptures when subjected to a pressure of 200,000 Pa. a) In a body of fresh water, at what depth would such a pressure occur? b) What would be the force on an eardrum at this depth? ashley works as a secretary for jamir. jamir finds ashley to be extremely dependable even in stressful situations. she is always calm and is able to come up with solutions for any problem. in the context of personalities, ashley can be described as being . a. emotionally volatile b. introverted c. emotionally stable d. unconscientious A.To redeem investors' shares upon demand at the current NAV (Net Asset Value)B.To earn the rate of return promised in the ProspectusC.To have a minimum NAV for investorsD.To have a minimum rate of return for investorsE. 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