How do you factor the trinomial $6x ^2+13x+5$ ?

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Answer 1 · 2016-01-17T09:52:54

Use an AC method, factoring by grouping to find:

$6x^2+13x+5=(2x+1)(3x+5)$

Look for a pair of factors of $AC = 6*5=30$ with sum $B=13$ .

The pair $10, 3$ works:

$10xx3 = 30$

$10+3 = 13$

Then use that pair to split the middle term and factor by grouping:

$6x^2+13x+5$

$=(6x^2+10x)+(3x+5)$

$=2x(3x+5)+1(3x+5)$

$=(2x+1)(3x+5)$

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