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B
(x+4)&(x−2)
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C
(x−4)&(x+2)
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Solution
The correct option is B(x+4)&(x−2) Lets factorise x2+2x−8:
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+2x−8=x2+4x−2x−8=x(x+4)−2(x+4)=(x+4)(x−2) ∴(x+4)&(x−2) are the factors of the polynomial x2+2x−8