What is factor 2a^2+7a-22 ?

The solution to factor 2a^2+7a-22 is (a-2)(2a+11)

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factor 2a^2+7a-22

factor

2 a^{2} + 7 a - 22

(a - 2) (2 a + 11)

Solution steps

2 a^{2} + 7 a - 22

Break the expression into groups

= (2 a^{2} - 4 a) + (11 a - 22)

Factor out

2 a

from

2 a^{2} - 4 a : 2 a (a - 2)

Factor out

11

from

11 a - 22 : 11 (a - 2)

= 2 a (a - 2) + 11 (a - 2)

Factor out common term

a - 2

= (a - 2) (2 a + 11)

(4 k^{2} + 8 k + 2) - (2 k + 3)

\frac{1}{12} + \frac{1}{3}

- 9 + 9

6 < \frac{w}{6}