Question

Which of the binomials below is a factor of this trinomial?

x^2 + 2x - 48

Answer 1

(x + 8)(x - 6)

to factorise consider the factors of - 48 which sum to + 2

These are + 8 and - 6 thus

x² + 2x - 48 = (x + 8)(x - 6)

Answer 2

Factors are (x-8) ( x+6).

Explanation:

Given : x²-2x -48 .

To find : Factors .

Solution : We have given x² -2x -48 .

Factories

x² + 6x -8x -48

Taking x common from first two term and - 8 from last two terms

x ( x +6) -8( x +6)

On grouping

( x -8)( x+6)

Therefore, Factors are (x -8) ( x +6) .