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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

= (2 cos^{2} (x) + cos (x)) + (- 4 cos (x) - 2)

Factor out

cos (x)

from

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

Factor out

- 2

from

- 4 cos (x) - 2 : - 2 (2 cos (x) + 1)

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

Factor out common term

2 cos (x) + 1

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

(x + 3)^{3} + 8 x^{3}

e^{2 x} - 25

cos^{8} (x) - 2 cos^{4} (x) + 1

(sin (8 x))^{4}

x - (x - y)

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