What is factor 2x^2-7x-9 ?

The solution to factor 2x^2-7x-9 is (x+1)(2x-9)

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factor 2x^2-7x-9

factor

2 x^{2} - 7 x - 9

(x + 1) (2 x - 9)

Solution steps

2 x^{2} - 7 x - 9

Break the expression into groups

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

Factor out

2 x

from

2 x^{2} + 2 x : 2 x (x + 1)

Factor out

- 9

from

- 9 x - 9 : - 9 (x + 1)

= 2 x (x + 1) - 9 (x + 1)

Factor out common term

x + 1

= (x + 1) (2 x - 9)

4 x - 2 \geq - 18 and 4 x + 6 \leq 30

- 144 x^{2} + 196

6 (\frac{1}{2})^{2}

x^{7} - x^{5}

\frac{1}{11}