How do you factor the expression $3x^2+13x-30$ ?

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Answer 1 · 2016-02-29T06:11:15

$3x^2+13x-30=color(blue)((x+6)(3x-5))$

$3x^2+13x-30$ is a quadratic equation in the form $ax^2+bx+c$ , where $a=3, b=13, c=-30$ .

Use the AC Method

Multiply $axxc$ .

$3xx-30=-90"$

Find two numbers that when added equal $13$ and when multiplied equal $-90$ . The numbers $18$ and $-5$ meet the requirements.

Rewrite the trinomial, replacing $13x$ with $18x$ and $-5x$ .

$3x^2+18x-5x-30$

Separate the terms into two pairs of terms.

$(3x^2+18)-(5x-30)$

Factor out the GCF from each pair of terms.

$3x(x+6)-5(x+6)$

Factor out $(x+6)$ .

$(x+6)(3x-5)$

How do you factor the expression 3x^2+13x-303x^2+13x-30?