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Popular >

factor x^3-75x-250

Solution

factor

x^{3} - 75 x - 250

Solution

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

Solution steps

x^{3} - 75 x - 250

Use the rational root theorem

= (x + 5) \frac{x ^{3} - 75 x - 250}{x + 5}

\frac{x ^{3} - 75 x - 250}{x + 5} = x^{2} - 5 x - 50

= (x + 5) (x^{2} - 5 x - 50)

Factor

x^{2} - 5 x - 50 : (x + 5) (x - 10)

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

Apply exponent rule:

aa = a^{2}

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

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

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Frequently Asked Questions (FAQ)

What is factor x^3-75x-250 ?
The solution to factor x^3-75x-250 is (x+5)^2(x-10)