Question

Which of the following represents the factorization of the trinomial below ?

x^2-8x-48

Answer 1

(x - 12 )(x + 4 )

consider the factors of - 48 which sum to - 8. These are - 12 and + 4

x² - 8x - 48 = (x - 12)(x + 4) ( in factored form )

Answer 2

`(x+4)(x-12)`

Explanation:

`x^2-8x-48`

Factor the given expression

Product is -48 and sum is -8

-12 times 4 is -48

-12 plus 4 is -8

So two factors that gives us product -48 ans um -8 is -12 and 4

LEts break -8x using the factors

`x^2-8x-48`

`x^2-12x+4x-48` Group the terms

`(x^2-12x)+(4x-48)`, Take out GCf from each group

`x(x-12)+4(x-12)`

Now factor out x-12

`(x+4)(x-12)`