What is factor 25x^3+150x^2-9x-54 ?

The solution to factor 25x^3+150x^2-9x-54 is (x+6)(5x+3)(5x-3)

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factor 25x^3+150x^2-9x-54

factor

25 x^{3} + 150 x^{2} - 9 x - 54

(x + 6) (5 x + 3) (5 x - 3)

Solution steps

25 x^{3} + 150 x^{2} - 9 x - 54

= (25 x^{3} + 150 x^{2}) + (- 9 x - 54)

Factor out

25 x^{2}

from

25 x^{3} + 150 x^{2} : 25 x^{2} (x + 6)

Factor out

- 9

from

- 9 x - 54 : - 9 (x + 6)

= 25 x^{2} (x + 6) - 9 (x + 6)

Factor out common term

x + 6

= (x + 6) (25 x^{2} - 9)

Factor

25 x^{2} - 9 : (5 x + 3) (5 x - 3)

= (x + 6) (5 x + 3) (5 x - 3)

x^{2} + 13 x + \frac{169}{4}

5 x - 4 = 65 x - 8

0 = x^{2}

2 (x - 1) + 3 = x - 3 (x + 1)

0.5625

What is factor 25x^3+150x^2-9x-54 ?
The solution to factor 25x^3+150x^2-9x-54 is (x+6)(5x+3)(5x-3)