What is factor 2cos^2(x)+cos(x)-3 ?

The solution to factor 2cos^2(x)+cos(x)-3 is (cos(x)-1)(2cos(x)+3)

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factor 2cos^2(x)+cos(x)-3

factor

2 cos^{2} (x) + cos (x) - 3

(cos (x) - 1) (2 cos (x) + 3)

Solution steps

2 cos^{2} (x) + cos (x) - 3

Break the expression into groups

= (2 cos^{2} (x) - 2 cos (x)) + (3 cos (x) - 3)

Factor out

2 cos (x)

from

2 cos^{2} (x) - 2 cos (x) : 2 cos (x) (cos (x) - 1)

Factor out

3

from

3 cos (x) - 3 : 3 (cos (x) - 1)

= 2 cos (x) (cos (x) - 1) + 3 (cos (x) - 1)

Factor out common term

cos (x) - 1

= (cos (x) - 1) (2 cos (x) + 3)

- 320

2^{2} + 4 x - 6

\frac{- 9}{6 + 5}

[(3 x - y) + 2 x^{2}] [(3 x - y) - 3 z]

pq + p r + q^{2} + q r

What is factor 2cos^2(x)+cos(x)-3 ?
The solution to factor 2cos^2(x)+cos(x)-3 is (cos(x)-1)(2cos(x)+3)