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

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

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

factor

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

(q - 4) (2 q + 3) (2 q - 3)

Solution steps

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

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

Factor out

4 q^{2}

from

4 q^{3} - 16 q^{2} : 4 q^{2} (q - 4)

Factor out

- 9

from

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

= 4 q^{2} (q - 4) - 9 (q - 4)

Factor out common term

q - 4

= (q - 4) (4 q^{2} - 9)

Factor

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

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

2 x^{3} + 3 x^{2} + x

3 n^{2} + 9 n - 30

x^{2} + 2 x = - 1

\frac{3}{5} (x - 5) + \frac{2}{3} (x - 3) > - 6

1.98 = 0.044 \cdot n

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