What is factor 4x^3+12x^2-x-15 ?

The solution to factor 4x^3+12x^2-x-15 is (x-1)(2x+3)(2x+5)

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factor 4x^3+12x^2-x-15

factor

4 x^{3} + 12 x^{2} - x - 15

(x - 1) (2 x + 3) (2 x + 5)

Solution steps

4 x^{3} + 12 x^{2} - x - 15

Use the rational root theorem

= (x - 1) \frac{4 x ^{3} + 12 x ^{2} - x - 15}{x - 1}

\frac{4 x ^{3} + 12 x ^{2} - x - 15}{x - 1} = 4 x^{2} + 16 x + 15

= (x - 1) (4 x^{2} + 16 x + 15)

Factor

4 x^{2} + 16 x + 15 : (2 x + 3) (2 x + 5)

= (x - 1) (2 x + 3) (2 x + 5)

\frac{3 ( 2 )}{2}

\frac{7}{12} + \frac{9}{13}

\frac{1}{\frac{x + 2}{x - 2}}

3 x^{2} + 5 x^{4}

\frac{- 4}{5} - \frac{11}{5}

What is factor 4x^3+12x^2-x-15 ?
The solution to factor 4x^3+12x^2-x-15 is (x-1)(2x+3)(2x+5)