Question

P(x) =2x³ + 2x² - 3x - 3 is divisible by:

A. x - 1
B. x + 1
C. x + 2
D. x + 3
E. x - 2​

Answer 1

Option B

Explanation:

If you replace the X in the P(X) it becomes -1 and then you'll change every x in the equation to -1

2(-1)³ + 2(-1)² -3(-1) -3

which = -2 +2 +3 -3

= 0

Since the answer is 0 it means x + 1 is a factor of 2x³ + 2x² - 3x -3

Answer 2

• B. x + 1

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Factorize the given polynomial:

• P(x) =
• 2x³ + 2x² - 3x - 3 =
• 2x²(x + 1) - 3(x + 1) =
• (x + 1)(2x² - 3)

As we see the polynomial is divisible by x + 1.

Correct choice is B.