What is factor 2x^2-7x-72 ?

The solution to factor 2x^2-7x-72 is (2x+9)(x-8)

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factor 2x^2-7x-72

factor

2 x^{2} - 7 x - 72

(2 x + 9) (x - 8)

Solution steps

2 x^{2} - 7 x - 72

Break the expression into groups

= (2 x^{2} + 9 x) + (- 16 x - 72)

Factor out

x

from

2 x^{2} + 9 x : x (2 x + 9)

Factor out

- 8

from

- 16 x - 72 : - 8 (2 x + 9)

= x (2 x + 9) - 8 (2 x + 9)

Factor out common term

2 x + 9

= (2 x + 9) (x - 8)

\frac{( x ^{2} + 1 ) ( x - 3 )}{x ^{2} - 9} \geq 0

(x + 4) (x - 6) (4 - 5) = 0

9 (x - 5) = 8 (x + 5)

7 x^{2} - 2 x + 3 = 0

\frac{- 3 - 2}{3 17}