What is factor x^3+2x^2-15x-36 ?

The solution to factor x^3+2x^2-15x-36 is (x+3)^2(x-4)

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factor x^3+2x^2-15x-36

factor

x^{3} + 2 x^{2} - 15 x - 36

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

Solution steps

x^{3} + 2 x^{2} - 15 x - 36

Use the rational root theorem

= (x + 3) \frac{x ^{3} + 2 x ^{2} - 15 x - 36}{x + 3}

\frac{x ^{3} + 2 x ^{2} - 15 x - 36}{x + 3} = x^{2} - x - 12

= (x + 3) (x^{2} - x - 12)

Factor

x^{2} - x - 12 : (x + 3) (x - 4)

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

Apply exponent rule:

aa = a^{2}

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

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

\frac{7 x - x ^{2}}{x ^{2} - 49}

- 576

\frac{1}{5} (- 10 + - 125)

(3 + 2 i) (4 - 5 i)

35 + 75 - 10

What is factor x^3+2x^2-15x-36 ?
The solution to factor x^3+2x^2-15x-36 is (x+3)^2(x-4)