What is factor 4x^3+16x^2-25x-100 ?

The solution to factor 4x^3+16x^2-25x-100 is (x+4)(2x+5)(2x-5)

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factor 4x^3+16x^2-25x-100

factor

4 x^{3} + 16 x^{2} - 25 x - 100

(x + 4) (2 x + 5) (2 x - 5)

Solution steps

4 x^{3} + 16 x^{2} - 25 x - 100

= (4 x^{3} + 16 x^{2}) + (- 25 x - 100)

Factor out

4 x^{2}

from

4 x^{3} + 16 x^{2} : 4 x^{2} (x + 4)

Factor out

- 25

from

- 25 x - 100 : - 25 (x + 4)

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

Factor out common term

x + 4

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

Factor

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

= (x + 4) (2 x + 5) (2 x - 5)

0 = 3 x^{2} + 12 x + 12

15 x^{2} - 35 x - 30

4 x^{2} - 16 x + 10 = 0

\frac{x ^{3}}{x ^{2}}

\frac{x}{3} - 8 = - 2

What is factor 4x^3+16x^2-25x-100 ?
The solution to factor 4x^3+16x^2-25x-100 is (x+4)(2x+5)(2x-5)