Free Printable Remainder and Factor Theorems

1.

If the polynomial $x^2-5x+9$ is divided by (x-3), then the remainder is

a)

4

b)

5

c)

2

d)

3

2.

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

a)

x + 1

b)

x + 2

c)

x + 5

d)

x + 10

3.

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

a)

-2

b)

-6

c)

-12

d)

0

4.

What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

a)

-25

b)

25

c)

113

d)

-113

5.

What are the three factors for
(x³ -3x² -4x +12) ÷ (x + 2)?

a)

(x-2) (x+2) (x+3)

b)

(x-2) (x-2) (x+3)

c)

(x+2) (x+2) (x+3)

d)

(x-2) (x+2) (x-3)

6.

If(x) = $5x^3-3x^2+1$ , then the value of $f\left(\frac{2}{5}\right)\ is$

a)

$\frac{21}{25}$

b)

$\frac{4}{5}$

c)

$\frac{7}{5}$

d)

$\frac{8}{5}$

7.

$If\ \ 6x^3-11x^2+6x-7\$ is divided by $1-3x$ , then the remainder is

a)

9

b)

8

c)

6

d)

-6

8.

The value of p for which the polynomial $2x^3+px^2-5x-6\$ is divisible by 2x -3 is

a)

p=3

b)

p=2

c)

p=4

d)

p=6

9.

The number to be added $x^3-3x^2+4x-16$ to obtain a polynomial which is divisible by $\left(x-3\right)\ is$

a)

2

b)

5

c)

3

d)

4

10.

The degree of the expression $x-2+x^2-x^3$ is

a)

4

b)

3

c)

2

d)

1

11.

a)

19

b)

40

c)

28

d)

None of the above

Remainder and Factor Theorems

Total questions: 11

Worksheet time: 30mins

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