Question

What is the factored form of this expression?
x2 + 15x + 56

Answer 1

( x + 8 ) ( x + 7)

Explanation:

`{x}^(2) + 15x + 56`

Write 15x as a sum

`{x}^(2) + 8x + 7x + 56`

Factor out X from the expression

`x(x + 8) + 7x + 56`

Factor out 7 from the expression

`x(x + 8) + 7(x + 8)`

Factor out X+8 from the expression

`(x + 8)(x + 7)`

Hope this helps...

Good luck on your assignment..

Answer 2

To factor this, we need to find two numbers that have a sum of 15 and product of 56; these numbers are 7 and 8. Therefore, the factored form is (x + 7)(x + 8).