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Question

Using factor theorem, show that:
(x + 2) is a factor of (x4 − x2 − 12)

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Solution

Let:
fx=x4-x2-12
Here,
x+2=0x=-2
By the factor theorem, (x + 2) is a factor of the given polynomial if f (-2) = 0.
Thus, we have:
f-2=-24--22-12 =16-4-12 =0
Hence, (x + 2) is a factor of the given polynomial.

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