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

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

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

factor

1 + 2 cos^{2} (x) - 3 cos (x)

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

Solution steps

1 + 2 cos^{2} (x) - 3 cos (x)

Write in the standard form

a x^{2} + b x + c

= 2 cos^{2} (x) - 3 cos (x) + 1

Break the expression into groups

= (2 cos^{2} (x) - cos (x)) + (- 2 cos (x) + 1)

Factor out

cos (x)

from

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

Factor out

- 1

from

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

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

Factor out common term

2 cos (x) - 1

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

39 - 3 x^{6}

(3.5) d - 10

- 2^{2} + 40

5 x^{2} - 10 x^{2}

\frac{d}{d t} ((r (t)) (cos (5 t)))

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