What is factor 4x^3+12x^2-25x-75 ?

The solution to factor 4x^3+12x^2-25x-75 is (x+3)(2x+5)(2x-5)

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factor 4x^3+12x^2-25x-75

factor

4 x^{3} + 12 x^{2} - 25 x - 75

(x + 3) (2 x + 5) (2 x - 5)

Solution steps

4 x^{3} + 12 x^{2} - 25 x - 75

= (4 x^{3} + 12 x^{2}) + (- 25 x - 75)

Factor out

4 x^{2}

from

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

Factor out

- 25

from

- 25 x - 75 : - 25 (x + 3)

= 4 x^{2} (x + 3) - 25 (x + 3)

Factor out common term

x + 3

= (x + 3) (4 x^{2} - 25)

Factor

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

= (x + 3) (2 x + 5) (2 x - 5)

\frac{115 π}{180}

(\frac{y}{x})^{- 1}

- 2 x^{2} - 4 x + 6 = 0

2^{x} = 7

What is factor 4x^3+12x^2-25x-75 ?
The solution to factor 4x^3+12x^2-25x-75 is (x+3)(2x+5)(2x-5)