Respuesta :

snog

Answer:

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).

Answer:

( x + 8 ) ( x + 7)

Step-by-step explanation:

[tex] {x}^{2} + 15x + 56[/tex]

Write 15x as a sum

[tex] {x}^{2} + 8x + 7x + 56[/tex]

Factor out X from the expression

[tex]x(x + 8) + 7x + 56[/tex]

Factor out 7 from the expression

[tex]x(x + 8) + 7(x + 8)[/tex]

Factor out X+8 from the expression

[tex](x + 8)(x + 7)[/tex]

Hope this helps...

Good luck on your assignment..