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Popular >

factor x^3+6x^2-32

Solution

factor

x^{3} + 6 x^{2} - 32

Solution

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

Solution steps

x^{3} + 6 x^{2} - 32

Use the rational root theorem

= (x - 2) \frac{x ^{3} + 6 x ^{2} - 32}{x - 2}

\frac{x ^{3} + 6 x ^{2} - 32}{x - 2} = x^{2} + 8 x + 16

= (x - 2) (x^{2} + 8 x + 16)

Factor

x^{2} + 8 x + 16 : (x + 4) (x + 4)

= (x - 2) (x + 4) (x + 4)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

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(4 - 4 i)^{2}

\frac{7}{2} x + 9 = x + \frac{13}{2}

simplify 1/(1.1^4)simplify

\frac{1}{1. 1 ^{4}}

simplify (sqrt(3))/3 simplify

\frac{3}{3}

(2c)/3-(4c)/5 =7

\frac{2 c}{3} - \frac{4 c}{5} = 7

Frequently Asked Questions (FAQ)

What is factor x^3+6x^2-32 ?
The solution to factor x^3+6x^2-32 is (x-2)(x+4)^2