Question

(08.03 LC) Factor completely: x2 + 10x + 24 (5 points) Prime (x + 12)(x + 2) (x + 3)(x + 8) (x + 6)(x + 4)

Answer 1

The correct answer is actually D. The person who had answered before me had accurate math, but they were confused. The answer

(x + 6)(x + 4) is on D, not C.

Answer 2

Option C is correct

Explanation:

We need to factorize the expression:

`x^2+10x+24`

For factorization we need to break the middle term such that the product is equal to 24x^2 and the sum is equal to 10x

We know that 6*4 = 24 and 6+4 =10

So, solving

`=x^2+6x+4x+24`

Taking common

`=x(x+6)+4(x+6)`

`=(x+4)(x+6)`

So, the factors of

`x^2+10x+24`

are

`(x+4)(x+6)`

Hence Option C is correct