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Question

are the factors of the polynomial x2+2x8.

A
(x4) & (x2)
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B
(x+4) & (x2)
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C
(x4) & (x+2)
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Solution

The correct option is B (x+4) & (x2)
Lets factorise x2+2x8:
We need to find a and b such that a+b=2 and a×b=8.
We see that, 4+(2)=2 and 4×2=8
x2+2x8=x2+4x2x8=x(x+4)2(x+4)=(x+4)(x2)
(x+4) & (x2) are the factors of the polynomial x2+2x8

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