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)

- 2 < x \leq 4

15 = \frac{1}{3} (x + 9)

- 8 x \geq - 5

8 - 2 ∣ 8 - 2 x ∣ = - 4

(a^{- 1} + b^{- 1})^{- 1}