What is factor x^2-17x+72 ?

The solution to factor x^2-17x+72 is (x-8)(x-9)

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factor x^2-17x+72

factor

x^{2} - 17 x + 72

(x - 8) (x - 9)

Solution steps

x^{2} - 17 x + 72

Break the expression into groups

= (x^{2} - 8 x) + (- 9 x + 72)

Factor out

x

from

x^{2} - 8 x : x (x - 8)

Factor out

- 9

from

- 9 x + 72 : - 9 (x - 8)

= x (x - 8) - 9 (x - 8)

Factor out common term

x - 8

= (x - 8) (x - 9)

- 3 x^{2} + 16 x > x + 12

- 4 x^{2} + 8 x = 11

(- 243)^{\frac{1}{5}}

3 w^{2} - 4 w + 5 = 0

625 x - 100 x^{2} + 4 x^{3} > 1000