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Popular >

factor x^3-12x^2+256

Solution

factor

x^{3} - 12 x^{2} + 256

Solution

(x + 4) (x - 8)^{2}

Solution steps

x^{3} - 12 x^{2} + 256

Use the rational root theorem

= (x + 4) \frac{x ^{3} - 12 x ^{2} + 256}{x + 4}

\frac{x ^{3} - 12 x ^{2} + 256}{x + 4} = x^{2} - 16 x + 64

= (x + 4) (x^{2} - 16 x + 64)

Factor

x^{2} - 16 x + 64 : (x - 8) (x - 8)

= (x + 4) (x - 8) (x - 8)

Apply exponent rule:

aa = a^{2}

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

= (x + 4) (x - 8)^{2}

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Frequently Asked Questions (FAQ)

What is factor x^3-12x^2+256 ?
The solution to factor x^3-12x^2+256 is (x+4)(x-8)^2