# CHECK THE GIVEN IS FACTOR OF CUBIC POLYNOMIAL WORKSHEET

Determine if d(x) is a factor of f(x).

Problem 1 :

f(x) = x3 + 3x2 - 6x - 18

d(x) = x + 3

Solution

Problem 2 :

f(x) = 3x4+ 7x3+ 3x2- x – 4

d(x) = x + 2

Solution

Problem 3 :

f(x) = 2x3– x2- 6x - 1

d(x) = x + 1

Solution

Problem 4 :

f(x) = 4x3- 2x2+ x - 3

d(x) = x - 1

Solution

Problem 5 :

f(x) = 3x4- 3x3- 9x2+ 5x – 2

d(x) = x - 2

Solution

Problem 6 :

If x – 1 is a factor of the polynomial

p(x) = ax2– 3(a – 1)x – 1, then find the value of ‘a’?

Solution

Problem 7 :

Check If x + 1 is a factor of polynomial, hence evaluate p(-1).

p(x) = 6x3+ 5x2- 3x + 2

Solution

Problem 8 :

For what value of m is x3– 2mx2+ 16 divisible by x + 2

Solution

1) It is a factor

2) Not a factor

3) Not a factor

4) Is a factor

5) Not a factor

6)  a = 1

7)  p (-1) = 4

8)  m = 1

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