What is factor 4x^3+20x^2-9x-45 ?

The solution to factor 4x^3+20x^2-9x-45 is (x+5)(2x+3)(2x-3)

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factor 4x^3+20x^2-9x-45

factor

4 x^{3} + 20 x^{2} - 9 x - 45

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

Solution steps

4 x^{3} + 20 x^{2} - 9 x - 45

= (4 x^{3} + 20 x^{2}) + (- 9 x - 45)

Factor out

4 x^{2}

from

4 x^{3} + 20 x^{2} : 4 x^{2} (x + 5)

Factor out

- 9

from

- 9 x - 45 : - 9 (x + 5)

= 4 x^{2} (x + 5) - 9 (x + 5)

Factor out common term

x + 5

= (x + 5) (4 x^{2} - 9)

Factor

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

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

- 2 = 2 x^{2} + 8

2 k^{2} + 11 k + 15

\frac{( 15 - 8 i ) + ( 12 - 6 i )}{( - 14 + 3 i ) - ( - 19 - 4 i )}

What is factor 4x^3+20x^2-9x-45 ?
The solution to factor 4x^3+20x^2-9x-45 is (x+5)(2x+3)(2x-3)