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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

cos (x)

from

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

Factor out

2

from

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

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

Factor out common term

cos (x) - 1

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

2 \cdot (x^{a + 1} \cdot y^{x - 2})

(x - 3)^{4} + 2 (x - 3)^{2} - 8

e^{2 x} + 3 e^{x} + 2

- 9 108 + 63

1 - 3 a^{2} + 3 a^{4} - a^{6}

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