Factor x^3+8x^2+7x

$x^{3} + 8 x^{2} + 7 x$

Step 1

Factor $x$ out of $x^{3} + 8 x^{2} + 7 x$ .

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

$x \cdot x^{2} + 8 x^{2} + 7 x$

Factor $x$ out of $8 x^{2}$ .

$x \cdot x^{2} + x (8 x) + 7 x$

Factor $x$ out of $7 x$ .

$x \cdot x^{2} + x (8 x) + x \cdot 7$

Factor $x$ out of $x \cdot x^{2} + x (8 x)$ .

$x (x^{2} + 8 x) + x \cdot 7$

Factor $x$ out of $x (x^{2} + 8 x) + x \cdot 7$ .

$x (x^{2} + 8 x + 7)$

Step 2

Factor.

Factor $x^{2} + 8 x + 7$ 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 $7$ and whose sum is $8$ .

$1, 7$

Write the factored form using these integers.

$x ((x + 1) (x + 7))$

Remove unnecessary parentheses.

$x (x + 1) (x + 7)$

Factor x^3+8x^2+7x

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