Question 1

If a polynomial

f(x)

is divided by

(x - a)

, what is the remainder according to the Remainder Theorem?

Accepted Answer

Answer

Answer

Answer

Question 2

Which of the following statements is a direct application of the Remainder Theorem?

Accepted Answer

If a polynomial

f(x)

is divided by

(x - a)

, the remainder is

f(a)

.

Answer

If the remainder is zero,

f(x)

is a factor of

(x - a)

.

Answer

The remainder is always zero when dividing any polynomial by

f(x)

.

Answer

The remainder when dividing by a linear factor is the derivative of the polynomial at that point.

Question 3

What is the remainder when the polynomial

f(x)

is divided by

(x - a)

according to the Remainder Theorem?

Accepted Answer

34

Answer

26

Answer

16

Answer

14

Question 4

According to the Remainder Theorem, if a polynomial

f(x)

is divided by

(x - a)

and the remainder is 0, what can be concluded about

f(a)

?

Accepted Answer

f(a)

is a factor of

f(x)

.

Answer

The leading coefficient of

f(x)

is 3.

Answer

The polynomial has a degree of 1.

Answer

The polynomial value at

f(x)

is zero.

Question 5

Using the Remainder Theorem, what is the remainder when the polynomial

f(x)

is divided by

(x - a)

?

Accepted Answer

7

Answer

3

Answer

9

Answer

5

Question 6

If

f(x)

, what is the remainder when

(x - a)

is divided by

f(a)

according to the Remainder Theorem?

Accepted Answer

0

Answer

8

Answer

4

Answer

2

Question 7

Given the polynomial

f(x)

, according to the Remainder Theorem, what is the remainder when

(x - a)

is divided by

f(a)

?

Accepted Answer

5

Answer

3

Answer

2

Answer

11

Question 8

If

f(x)

, what is the remainder when

(x - a)

is divided by

f(a)

according to the Remainder Theorem?

Accepted Answer

-3

Answer

3

Answer

0

Answer

1

Question 9

Given

f(x)

, what is the remainder when

(x - a)

is divided by

f(a)

according to the Remainder Theorem?

Accepted Answer

10

Answer

5

Answer

3

Answer

7

Question 10

According to the Remainder Theorem, what value of

f(x)

makes

(x - a)

a factor of the polynomial

f(a)

?

Accepted Answer

16

Answer

20

Answer

10

Answer

8

Related quizzes

Related quizzes