12) which of the following is factor of the polynomial x^4+x^3-x^2+x-1

x+1
x-1
Both options 1 and 2
None​

Answers

Answer 1

Answer:

Answer: None

Step-by-step explanation:

Polynomial Remainder Theorem

The polynomial remainder theorem establishes that the remainder of the division of a polynomial f(x) by (x-k) is equal to f(k), that is, substituting x for k.

We are given the polynomial:

[tex]f(x)= x^4+x^3-x^2+x-1[/tex]

And it's required to know if (x+1) and/or (x-1) are factors of the polynomial.

We apply the theorem for both cases.

For (x+1), we substitute x=-1 into the polynomial:

[tex]f(-1)= (-1)^4+(-1)^3-(-1)^2+(-1)-1[/tex]

[tex]f(-1)= 1-1-1-1-1=-3[/tex]

Since the remainder is not zero, x+1 is not a factor of the given polynomial.

For (x-1), we substitute x=1 into the polynomial:

[tex]f(-1)= (1)^4+(1)^3-(1)^2+(1)-1[/tex]

[tex]f(-1)= 1+1-1+1-1=1[/tex]

Since the remainder is not zero, x-1 is not a factor of the given polynomial.

Answer: None


Related Questions

If linda completed 20% of her science project on Monday, what percentage of her project is left to complete?

Answers

Answer:

80% because if she finished her project it would be 100%, but if we subtract 20% from 100, it would be 80% so she has 80% left to complete

Step-by-step explanation:

Hope it helps!!!

HELPPPPP PLZZZ ITS TIMEDDD

Solve for the unknown length.

Answers

Answer:

37.5 units

Step-by-step explanation:

I assume that there is condition: BC║DE . If so, then ΔABC ~ ΔADE ⇒ that corresponding sides are proportional.

[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AC}{AE}[/tex]

AC = 30 + 20 = 50

[tex]\frac{x}{15}[/tex] = [tex]\frac{50}{20}[/tex] ⇒ x = [tex]\frac{15*50}{20}[/tex] = 37.5 units

CAN YOU PLEASE JUST FILL THIS IN AND NOT LIKE EXPLAIN IT TO ME!!!

Answers

why don't you want an explanation, thats how you learn.

Answer:

It appears the slope is 1, 4 & the y-intercept is 0, 5.

Step-by-step explanation:

Per your request, no explanations required.

Good luck!!

What is the missing number from the following sequence?

4 7 11 18 29 47 __ 123 199 322

Answers

Answer: 76

Step-by-step explanation: 29 + 47

PLEASE HELP WILL GIVE BRAINLIEST
Answer all parts of the question please!

Answers

A: l x w = a formula for area
l = w + 48 length
w(w+48) = 3024 substitute l with w+48
w^2 + 48w -3024=0 —solution to part A

B: w^2 + 48w - 3024 = 0 factor
(w-36)(w+84) = 0
Solutions for width = 36,-84
A width can’t be negative, so the width is 36 inches


What is the answer for this? Thank uuuu

Answers

Answer:

180-(25x+5)=9x+5

180-25x-5=9x+5

-34x=-170

x=5

5 is the answer :)))))

Molly estimated the her car insurance was going to be $250 each month. It was actually going to be $230 each month. What is the percent error? *

Answers

Answer:

8.69%.

Step-by-step explanation:

Estimated value = $250

Actual value = $230

We need to find the percent error. It can be calculated as follows :

[tex]\%=\dfrac{|\text{estimated-actual}|}{\text{actual}}\times 100\\\\=\dfrac{250-230}{230}\times 100\\\\=8.69\%[/tex]

So, the percent error is 8.69%.

Please help me with this

Answers

X>-1 is the base function

To make different equations you just have to alter both sides of the equation in the same way
Ex.
X+2>-1+2. Add 2
X+2>1. Simplify

Xx4>-1x4. Multiply by 4
4x>-4. Simplify
4x+3>-4+3. Add 3
4x+3>-1. Simplify

Ex answers
X+2>1
4x+3>-1

Hope this helps!! If so please give it brainliest!!

Which of the following points lies on the line 3y=2x-1?
A= (2,6)
B= (1,2)
C= (2,1)
D= (-2,1)
E= (2,-6)

Answers

Answer:

C

Step-by-step explanation:

I just plugged it in and checked tbh

The point C = ( 2, 1 ) lies on the line 3y = 2x - 1.

What is an equation of a line?

The standard form of the equation of a line is given as:

ax + by + c = 0.

Here a, and b, are the coefficients, x, and y are the variables, and c is the constant term.

We have,

Equation of a line:

3y = 2x - 1

We need to check which point lies on the line.

A = ( 2, 6 )

3 x 6 = 2 x 2 - 1

18 = 4 - 1

18 ≠ 3

B = ( 1, 2 )

3 x 2 = 2 x 1 - 1

6 = 2 - 1

6 ≠ 1

C = ( 2, 1 )

3 x 1 = 2 x 2 - 1

3 = 4 - 1

3 = 3

D = ( -2, 1 )

3 x 1 = 2 x (-2) - 1

3 = -4 - 1

3 ≠ -5

E = ( 2, -6 )

3 x (-6) = 2 x 2 - 1

-18 = 4 - 1

-18 ≠ 3

Thus the point C = ( 2, 1 ) lies on the line 3y = 2x - 1.

Learn more about a point on a line here:

https://brainly.com/question/21511618

#SPJ2

HELP ME HURRY I JUST NEED THE ONES THAT ARE BLANKKK HELP

Answers

Answer:

The initial value of f(x) is 0.

The range of values for f(x) is 0 ≤ f(x) ≤ 6.

*Hint: You can use a table to do this one and plug in -4, -3, -2, and -1 in for x in the rule for the function of f(x), and -4 is your initial x-value. The answer from the first line is the same answer for the other blank.

Hope this helps!

Which angles are supplementary to
∠4
? Select all correct answers.

Answers

Answer:

Angle 3, and Angle 6

When added together with angle 4, their degrees equals to 180

Answer:

2 and 3, but 6 and 7 also work, they just aren't right next to each other

Step-by-step explanation:

Choose the correct value for the linear correlation between latitude and August precipitation from: (i) r= -1, (ii) r=-0.700, (iii) r=-0.161 or (iv) r=-0.538

Answers

Answer:

hello your question is incomplete attached below is the missing part of the  question

answer : r = - 0.161 ( iii )

Step-by-step explanation:

The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161  and this is because the data points are showing a less negative correlation

What goes on the first blank tick mark?

Answers

Answer:

24

Step-by-step explanation:

The number line should read 18, 24, 30, 36, 42. There is a spacing of 6 units between each tick mark.

Good luck.

Hope this helps!

Find two consecutive even integers such that the sum of the numbers is ten more than the larger number. (Must solve algebraically to receive full credit.)

Answers

Answer:

10 and 12

Step-by-step explanation:

Let the smallest number = 2x

Then the larger number is 2x + 2

2x + 2x + 2 = 2x + 2 + 10                     Subtract 2x + 2 from both sides

2x = 10                                                  Divide by 2

x = 5

The smaller number is 2x = 2 * 5 = 10

The larger number is 2x + 2 = 12

9/10 in its simplest form

Answers

Step-by-step explanation:

its the simplest form.........

Answer:

You can not reduce it further only in decimals

Write an equation in point-slope form for the line with a slope of 1/4 that passes through the point (-1, -8)

Answers

Answer:

y = 1/4 x - 31/4

Step-by-step explanation:

Slope (m) = 1/4

Point A (-1, -8)

y = mx + b

-8 = 1/4 (-1) + b

-8 + 1/4 = b

b = -32/4 + 1/4

b = -31/4

y = mx + b <-- this is a linear equation, continuing line, so there are infinite values for x and y. Therefore we don't have to plug the values of x and y in

y = 1/4 x + - 31/4

y = 1/4 x - 31/4


For f(x) = -5x +9, find f'(15)

Answers

f(x) =-5x+9
f(x) =-5(15)+9
f(x) =- 75+9
f(x)=-66
your answer is -66 :)

Kevin has a rectangular
swimming pools that is 12
feet by 16 feet. He wants
to put a rope diagonally
across the pool. How long
does the rope need to
be?

Answers

Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, [tex]a^2+b^2=c^2[/tex], where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

[tex]12^2+16^2=c^2[/tex]

Which is then

[tex]144+256=c^2[/tex]

[tex]c^2=400[/tex]

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

Answer:

20 feet

Step-by-step explanation:

Use Pythagoras's theorem.

[tex]A^{2}+B^{2} =C^{2} \\12^{2} +16^{2}= C^{2} \\400 = C^{2} \\\sqrt{400}= \sqrt{C^{2}\\\\[/tex]

20 = C

Which equation is represented by the graph below?

Answers

Answer:

y=-1/2x+2

the y-intercept is at 2 and the slope is -1/2

meaning the y coordinates with move down 1 while the x coordinates will move 2 in a positive (right) direction

What ratio is equivalent to 5:3
O 15:3
20:12
O 15:12
12:20

Answers

Answer:

20:12

Step-by-step explanation:

[tex]5:3 = \frac{5}{3} \\ 20:12 = \frac{20}{12} = \frac{5}{3} \\ = 5:3[/tex]

Answer:

20:12

Step-by-step explanation:

20divided by 4is 5

12 divided by 4 is 3

Factor 28xy + 25 + 35x + 20y

Answers

HOPE THIS HELPS YOU...

3. Nathan usually drinks 48 ounces of water per day. He read that he should
drink 72 ounces of water per day. If he starts drinking 72 ounces, what is the
percent increase?

Answers

Answer:

50%

Step-by-step explanation:

Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?

Answers

Answer:

A scale of fivce hundred should be the correct answer

Step-by-step explanation:

Answer:

1cm=50km

Step-by-step explanation:

325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.

Pls find m<1 TYSM! **the answer is not 40**

Answers

Step-by-step explanation:

Does that make sense to u??

standard form of 4 + 3y - 2x = 0​

Answers

Answer: 2x-3y=4

Hope this helps!! :)

Extremely easy question marking Brainliest answer

Answers

Answer:

It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.

Help! Simplify the following expression

Answers

Step-by-step explanation:

1/625×15625

We wil add power 2 as shown in the bracket

It will be 1/390625×244140625=625

Can someone help me with this please?

D wasn’t shown here but it said that it doesn’t prove for ABC

Answers

Your answer is B ...

Can somebody help me with this

Answers

the answer is 1 3/10

Explain Long division in your own words using at least 3 sentences.

Answers

Answer:

form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest

I may be wrong been for ever since I did it on paper

Answer:

arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l

hope it helps

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