What is factor cos^2(x)-3cos(x)-18 ?

The solution to factor cos^2(x)-3cos(x)-18 is (cos(x)+3)(cos(x)-6)

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factor cos^2(x)-3cos(x)-18

factor

cos^{2} (x) - 3 cos (x) - 18

(cos (x) + 3) (cos (x) - 6)

Solution steps

cos^{2} (x) - 3 cos (x) - 18

Break the expression into groups

= (cos^{2} (x) + 3 cos (x)) + (- 6 cos (x) - 18)

Factor out

cos (x)

from

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

Factor out

- 6

from

- 6 cos (x) - 18 : - 6 (cos (x) + 3)

= cos (x) (cos (x) + 3) - 6 (cos (x) + 3)

Factor out common term

cos (x) + 3

= (cos (x) + 3) (cos (x) - 6)

a^{2} m - 4 m + a^{2} n - 4 n

x 2 - 3 x + 9

1 + 34 3^{3}

f (x) = x - 2

(ab + 1) (a + 1) (b + 1) + ab

What is factor cos^2(x)-3cos(x)-18 ?
The solution to factor cos^2(x)-3cos(x)-18 is (cos(x)+3)(cos(x)-6)