What is factor 2x^3+5x^2-6x-15 ?

The solution to factor 2x^3+5x^2-6x-15 is (2x+5)(x^2-3)

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factor 2x^3+5x^2-6x-15

factor

2 x^{3} + 5 x^{2} - 6 x - 15

(2 x + 5) (x^{2} - 3)

Solution steps

2 x^{3} + 5 x^{2} - 6 x - 15

= (2 x^{3} + 5 x^{2}) + (- 6 x - 15)

Factor out

x^{2}

from

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

Factor out

- 3

from

- 6 x - 15 : - 3 (2 x + 5)

= x^{2} (2 x + 5) - 3 (2 x + 5)

Factor out common term

2 x + 5

= (2 x + 5) (x^{2} - 3)

16 x - 8 = 72

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

x^{2} - 16 x + 28

(x - 2)^{2} - 16

\frac{4 x - 6}{12} - \frac{3 x - 8}{4} = \frac{2 x - 9}{6} - \frac{x - 4}{8}

What is factor 2x^3+5x^2-6x-15 ?
The solution to factor 2x^3+5x^2-6x-15 is (2x+5)(x^2-3)