How do you factor the expression $x^2+8x+15$ ?

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Answer 1 · 2016-01-02T17:09:16

$(x+3)(x+5)$

Find $2$ integers whose sum is $8$ and whose product is $15$ .

These numbers are $3$ and $5$ , since

$3+5=8$
$3xx5=15$

Use the numbers $3$ and $5$ in two binomials, as follows:

$(x+3)(x+5)$

This is $x^2+8x+15$ in factored form.

You can check your work by redistributing and seeing if you get $x^2+8x+15$ .

$(x+3)(x+5)=x(x)+5x+3x+3(5)=x^2+8x+15$

How do you factor the expression x^2+8x+15x^2+8x+15?