What is factor 4x^3+16x^2-9x-36 ?

The solution to factor 4x^3+16x^2-9x-36 is (x+4)(2x+3)(2x-3)

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factor 4x^3+16x^2-9x-36

factor

4 x^{3} + 16 x^{2} - 9 x - 36

(x + 4) (2 x + 3) (2 x - 3)

Solution steps

4 x^{3} + 16 x^{2} - 9 x - 36

= (4 x^{3} + 16 x^{2}) + (- 9 x - 36)

Factor out

4 x^{2}

from

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

Factor out

- 9

from

- 9 x - 36 : - 9 (x + 4)

= 4 x^{2} (x + 4) - 9 (x + 4)

Factor out common term

x + 4

= (x + 4) (4 x^{2} - 9)

Factor

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

= (x + 4) (2 x + 3) (2 x - 3)

\frac{7}{49}

\frac{15 + 5}{6 5}

2 x^{3} + 162

\frac{π}{π}

What is factor 4x^3+16x^2-9x-36 ?
The solution to factor 4x^3+16x^2-9x-36 is (x+4)(2x+3)(2x-3)