What is factor 2k^2-5k-18 ?

The solution to factor 2k^2-5k-18 is (k+2)(2k-9)

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factor 2k^2-5k-18

factor

2 k^{2} - 5 k - 18

(k + 2) (2 k - 9)

Solution steps

2 k^{2} - 5 k - 18

Break the expression into groups

= (2 k^{2} + 4 k) + (- 9 k - 18)

Factor out

2 k

from

2 k^{2} + 4 k : 2 k (k + 2)

Factor out

- 9

from

- 9 k - 18 : - 9 (k + 2)

= 2 k (k + 2) - 9 (k + 2)

Factor out common term

k + 2

= (k + 2) (2 k - 9)

\frac{1}{2} \cdot 45

2 x^{2} + 9 = - 41

2 (- 5)

\frac{270}{180} π

x^{2} + (\frac{3}{2} x - \frac{1}{4}) = 0