Quiz about Polynomial Division and Remainder Theorem

Question 1

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

Accepted Answer

6   -4   0   3   1

Answer

3   0   -4   6   1

Answer

6   -4   3   1   0

Answer

-6   4   0   -3   -1

Question 2

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 3

For synthetic division, what would be the number in the left hand box?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 4

Is this division problem worked correctly?

Accepted Answer

This is incorrect!

Answer

This is correct!

Question 5

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

Accepted Answer

Yes, (x-2) is a factor. The remainder is zero.

Answer

Yes, (x-2) is a factor. There is a remainder.

Answer

No, (x-2) is  not a factor. The remainder is zero.

Answer

No, (x-2) is  not a factor. There is a remainder.

Question 6

What is the remainder when a³ - 4 is divided by a+2?

Accepted Answer

-12

Answer

-2

Answer

-6

Answer

0

Question 7

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

Accepted Answer

0

Answer

2x-10

Answer

-2x-10

Answer

2x+10

Question 8

What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10

Accepted Answer

0

Answer

2x-10

Answer

-2x-10

Answer

2x+10

Question 9

Which statement is true?

Accepted Answer

(x-3) is not a factor of (x³- 3x²+ 2x + 2)

Answer

(x-3) is a factor of (x³- 3x²+ 2x + 2)

Answer

The remainder when (x³- 3x²+ 2x + 2) is divided by (x-3) is zero.

Answer

The remainder when (x³- 3x²+ 2x + 2) is divided by (x-3) is not zero. The remainder is 17.

Question 10

If (2x²+10) is divided by (x -1), then what is the remainder?

Accepted Answer

12

Answer

0

Answer

-12

Answer

8

Polynomial Division and Remainder Theorem

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