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Remainder & Factor Theorem

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.

If we will divide 3x6 + 7x - 5x and x - 8, what is the value of x?

a)

-8

b)

8

c)

6

d)

1

2.

What kind of theorem is the given polynomial?

P(x) = 3x + 6x - 12 ; x + 4

a)

Factor Theorem

b)

Pythagorean Theorem

c)

Remainder Theorem

3.

What is the remainder when x6 + 3x2 + 10 is divided by x - 2?

a)

R = 54

b)

R = 86

c)

R = 30

d)

R = 12

4.

What is the formula for factor theorem?

a)

P(c) = 1

b)

P(c) = F

c)

P(c) = R

d)

P(c) = 0

5.

What is the formula for remainder theorem?

a)

P(c) = 0

b)

an = a1 (r) n-1

c)

an = a1 + (n - 1) d

d)

P(c) = R

6.

Which is the correct statement that determine if the given (x - c) is a factor of the polynomial P(x).

P(x) = -10x + 2x2 + x - 8 ; x + 3

a)

∴ (x-8) is a factor of p(x) = 10x + 2x2 + x - 8

b)

∴ (x+3) is a factor of p(x) = 10x + 2x2 + x - 8

c)

∴ (x+10) is a factor of p(x) = 10x + 2x2 + x - 8

d)

∴ (x-3) is a factor of p(x) = 10x + 2x2 + x - 8

7.

If we will divide 4x2 + x - 3x and x - 8, what is the remainder?

a)

R = 16

b)

R = 32

c)

R = 48

d)

R = 24

8.

Which is the correct statement that determine if the given (x - c) is a factor of the polynomial P(x).

P(x) = 3x - 6x - 12 ; x + 4

a)

∴ (3x - 6x) is a factor of p(x) = 3x - 6x - 12 ; x + 4

b)

∴ (x-4) is a factor of p(x) = 3x - 6x - 12 ; x + 4

c)

∴ (x+4) is a factor of p(x) = 3x - 6x - 12 ; x + 4

d)

∴ (-6x - 12) is a factor of p(x) = 3x - 6x - 12 ; x + 4

9.

What is the remainder when 8x4 - 3x3 - 7x2 + 2x is divided by x-3?

a)

R = 510

b)

R = 644

c)

R = 812

d)

R = 670

10.

What is the value of k so that x + 3 is a factor of p(x) = 2x3 + kx2 - 8x + 3 ?

a)

k = 3

b)

k = 12

c)

k = 16

d)

k = 4