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Question

Which of these is a factor of x32x4 ​?


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-2

P(1) = 132(1)4=5. Hence, when P(x) is divided by (x-1), the remainder will be -5. Hence, x1 is not a factor of the polynomial

P(0) = 032(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)=232(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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