Q. 5 D4.3( 6 Votes )

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Answer :

The given expression looks as


x2 + (a + b)x + ab


where a + b = -4; and ab = -32;


factors of -32 their sum


1 × -32 1-32 = -31


-16 × 2 2 -16 = - 14


-8 × 4 4 -8 = -4


the factors having sum -4 are -8 and 4


x2 – 4x – 32 = x2 + (4 -8)x - 32


= x2 + 4x - 8x - 32


= x(x + 4) -8(x + 4)


= (x + 4)(x-8)


Hence the factors of x2 – 4x – 32 are (x + 4) and (x-8)


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