What is factor 4x^2-39x+81 ?

The solution to factor 4x^2-39x+81 is (x-3)(4x-27)

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factor 4x^2-39x+81

factor

4 x^{2} - 39 x + 81

(x - 3) (4 x - 27)

Solution steps

4 x^{2} - 39 x + 81

Break the expression into groups

= (4 x^{2} - 12 x) + (- 27 x + 81)

Factor out

4 x

from

4 x^{2} - 12 x : 4 x (x - 3)

Factor out

- 27

from

- 27 x + 81 : - 27 (x - 3)

= 4 x (x - 3) - 27 (x - 3)

Factor out common term

x - 3

= (x - 3) (4 x - 27)

\frac{4 x ^{2} + 2 x - 1}{2} = \frac{2 x ^{2} + 3 x + 1}{3}

28 x^{2} - 5 x - 4 = 0

(x + 2)^{2} - 36

\frac{1}{2} (2 h - 4) = 20

x^{3} + 6 x^{2} - 9 x - 54