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

Related Pages

• Solving simple cubic equations
• Solving simple cubic equations worksheet