# Como você fatora:  2x ^ 2 + 7x + 3 ?

#### Responda:

(x+3)(2x+1)

#### Explicação:

"using the a-c method of factorising"

"the factors of "2xx3=6
"which sum to + 7 are + 6 and + 1"

"split the middle term using these factors"

rArr2x^2+6x+x+3larrcolor(blue)"factor by grouping"

=color(red)(2x)(x+3)color(red)(+1)(x+3)

"take out the common factor "(x+3)

=(x+3)(color(red)(2x+1))

rArr2x^2+7x+3=(x+3)(2x+1)