What is factor 2x^2+11x+9 ?

The solution to factor 2x^2+11x+9 is (x+1)(2x+9)

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factor 2x^2+11x+9

factor

2 x^{2} + 11 x + 9

(x + 1) (2 x + 9)

Solution steps

2 x^{2} + 11 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)

1 + x - \frac{3}{2} \geq 2

\frac{x - 3}{x + 3} \leq 2

4 - 4 x \geq 9

- 2 (x - 5) = - 16

2 < 4