What is factor 4cos^2(x)+cos(x)-5 ?

The solution to factor 4cos^2(x)+cos(x)-5 is (cos(x)-1)(4cos(x)+5)

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factor 4cos^2(x)+cos(x)-5

factor

4 cos^{2} (x) + cos (x) - 5

(cos (x) - 1) (4 cos (x) + 5)

Solution steps

4 cos^{2} (x) + cos (x) - 5

Break the expression into groups

= (4 cos^{2} (x) - 4 cos (x)) + (5 cos (x) - 5)

Factor out

4 cos (x)

from

4 cos^{2} (x) - 4 cos (x) : 4 cos (x) (cos (x) - 1)

Factor out

5

from

5 cos (x) - 5 : 5 (cos (x) - 1)

= 4 cos (x) (cos (x) - 1) + 5 (cos (x) - 1)

Factor out common term

cos (x) - 1

= (cos (x) - 1) (4 cos (x) + 5)

6^{3} - 13 x - 5

(sin (5 x))^{2}

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

y^{2} d x - x y d y

x^{2} + 2 x y + (y)^{2} - 4 x - 4 y

What is factor 4cos^2(x)+cos(x)-5 ?
The solution to factor 4cos^2(x)+cos(x)-5 is (cos(x)-1)(4cos(x)+5)