What is factor x^3+13x^2+40x+36 ?

The solution to factor x^3+13x^2+40x+36 is (x+2)^2(x+9)

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factor x^3+13x^2+40x+36

factor

x^{3} + 13 x^{2} + 40 x + 36

(x + 2)^{2} (x + 9)

Solution steps

x^{3} + 13 x^{2} + 40 x + 36

Use the rational root theorem

= (x + 2) \frac{x ^{3} + 13 x ^{2} + 40 x + 36}{x + 2}

\frac{x ^{3} + 13 x ^{2} + 40 x + 36}{x + 2} = x^{2} + 11 x + 18

= (x + 2) (x^{2} + 11 x + 18)

Factor

x^{2} + 11 x + 18 : (x + 2) (x + 9)

= (x + 2) (x + 2) (x + 9)

Apply exponent rule:

aa = a^{2}

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

= (x + 2)^{2} (x + 9)

43 \cdot 26

\frac{0}{13}

\frac{1}{4 + 2 i}

- π - π

\frac{4 y ^{3}}{3 y ^{5}}

What is factor x^3+13x^2+40x+36 ?
The solution to factor x^3+13x^2+40x+36 is (x+2)^2(x+9)