What is factor x^2+15x+56 ?

The solution to factor x^2+15x+56 is (x+7)(x+8)

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factor x^2+15x+56

factor

x^{2} + 15 x + 56

(x + 7) (x + 8)

Solution steps

x^{2} + 15 x + 56

Break the expression into groups

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

Factor out

x

from

x^{2} + 7 x : x (x + 7)

Factor out

8

from

8 x + 56 : 8 (x + 7)

= x (x + 7) + 8 (x + 7)

Factor out common term

x + 7

= (x + 7) (x + 8)

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