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Question

Which of these is a factor of x32x4 ​?



Your Answer
A

True

Your Answer
B

False

Correct Answer
C
x-2
Your Answer
D
x-3

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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