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Popular >

factor x^3+15x^2-500

Solution

factor

x^{3} + 15 x^{2} - 500

Solution

(x - 5) (x + 10)^{2}

Solution steps

x^{3} + 15 x^{2} - 500

Use the rational root theorem

= (x - 5) \frac{x ^{3} + 15 x ^{2} - 500}{x - 5}

\frac{x ^{3} + 15 x ^{2} - 500}{x - 5} = x^{2} + 20 x + 100

= (x - 5) (x^{2} + 20 x + 100)

Factor

x^{2} + 20 x + 100 : (x + 10) (x + 10)

= (x - 5) (x + 10) (x + 10)

Apply exponent rule:

aa = a^{2}

(x + 10) (x + 10) = (x + 10)^{2}

= (x - 5) (x + 10)^{2}

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(x + y)^{23}

simplify (2a^2)^3+(3a^3)^2 simplify

(2 a^{2})^{3} + (3 a^{3})^{2}

Frequently Asked Questions (FAQ)

What is factor x^3+15x^2-500 ?
The solution to factor x^3+15x^2-500 is (x-5)(x+10)^2