What is factor x^3-x^2-16x-20 ?

The solution to factor x^3-x^2-16x-20 is (x+2)^2(x-5)

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factor x^3-x^2-16x-20

factor

x^{3} - x^{2} - 16 x - 20

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

Solution steps

x^{3} - x^{2} - 16 x - 20

Use the rational root theorem

= (x + 2) \frac{x ^{3} - x ^{2} - 16 x - 20}{x + 2}

\frac{x ^{3} - x ^{2} - 16 x - 20}{x + 2} = x^{2} - 3 x - 10

= (x + 2) (x^{2} - 3 x - 10)

Factor

x^{2} - 3 x - 10 : (x + 2) (x - 5)

= (x + 2) (x + 2) (x - 5)

Apply exponent rule:

aa = a^{2}

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

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

x^{2} \cdot x^{9}

- 3 x^{2} (5 x^{3} - 2 x^{2} + x - 7)

\frac{22}{6 + 14}

\frac{3}{4} + 1.6

\frac{18 x - 6}{15 x ^{3} - 5 x ^{2}}

What is factor x^3-x^2-16x-20 ?
The solution to factor x^3-x^2-16x-20 is (x+2)^2(x-5)