Factor P(x)=x^3-x^2-20x

$P (x) = x^{3} - x^{2} - 20 x$

Factor $x$ out of $x^{3} - x^{2} - 20 x$ .

Factor $x$ out of $x^{3}$ .

$P (x) = x \cdot x^{2} - x^{2} - 20 x$

Factor $x$ out of $- x^{2}$ .

$P (x) = x \cdot x^{2} + x (- x) - 20 x$

Factor $x$ out of $- 20 x$ .

$P (x) = x \cdot x^{2} + x (- x) + x \cdot - 20$

Factor $x$ out of $x \cdot x^{2} + x (- x)$ .

$P (x) = x (x^{2} - x) + x \cdot - 20$

Factor $x$ out of $x (x^{2} - x) + x \cdot - 20$ .

$P (x) = x (x^{2} - x - 20)$

Factor.

Factor $x^{2} - x - 20$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 20$ and whose sum is $- 1$ .

$- 5, 4$

Write the factored form using these integers.

$P (x) = x ((x - 5) (x + 4))$

Remove unnecessary parentheses.

$P (x) = x (x - 5) (x + 4)$

Factor P(x)=x^3-x^2-20x

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