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Question

# Which of these is a factor of x3â€“2xâ€“4 â€‹?

A

True

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B

False

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C
x-2
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D
x-3
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Solution

## The correct option is C x-2P(1) = 13−2(1)−4=−5. Hence, when P(x) is divided by (x-1), the remainder will be -5. Hence, x−1 is not a factor of the polynomial P(0) = 03−2(0)−4=−4. Hence, when P(x) is divided by x, the remainder will be -4. Hence, x is not a factor of the polynomial P(2)=23−2(2)−4=0 This means that when the polynomial is divided by x – 2, the remainder is zero. So, x – 2 is the factor of the polynomial.

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