Factor this expression. x2 + 9x + 8 a. (x - 4)(x + 2) b. (x - 4)(x - 2) c. (x + 8)(x - 1) d. (x + 8)(x + 1)

Option D

The factors of is (x + 8)(x +1)  

Solution:

From question, given that

To factorise the given equation, follow the below steps:

9x can be rewritten as 8x + 1x. Hence the above given equation becomes,

Rearranging the terms, we get

Taking x as common from first two terms and 8 as common from last two terms, the above equation becomes,

= x(x+1)+8(x+1)

Since (x +1) is common in both the terms, we get

= (x +1)(x+8)

Hence the factors of is (x + 8)(x +1)  

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