What is factor x^2-21x-72 ?

The solution to factor x^2-21x-72 is (x+3)(x-24)

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factor x^2-21x-72

factor

x^{2} - 21 x - 72

(x + 3) (x - 24)

Solution steps

x^{2} - 21 x - 72

Break the expression into groups

= (x^{2} + 3 x) + (- 24 x - 72)

Factor out

x

from

x^{2} + 3 x : x (x + 3)

Factor out

- 24

from

- 24 x - 72 : - 24 (x + 3)

= x (x + 3) - 24 (x + 3)

Factor out common term

x + 3

= (x + 3) (x - 24)

- 2 i^{\frac{- 34}{- 10}}

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520 - 45