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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

cos (x)

from

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

Factor out

- 1

from

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

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

Factor out common term

3 cos (x) + 1

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

e^{- i wt} + e^{i wt}

x 4 - 6 x 2 + 1

[- 4.8]

[(m - 4) + n] [(m - 4) - n]

sin^{4} (x) - cos^{4 x} (x)

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