Respuesta :
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..