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

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

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

factor

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

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

Solution steps

cos^{2} (x) - 3 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)

64 x^{6} - 125 y^{3} z^{9}

e (- x^{2})

3 a x - 3 a y - 5 b x + 5 b y

m^{11} - 7 m^{5}

3 x^{2} + 10 - 8

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