Como você fatora: 2x ^ 2 + 7x + 3 2x2+7x+3?

Responda:

(x+3)(2x+1)(x+3)(2x+1)

Explicação:

"using the a-c method of factorising"using the a-c method of factorising

"the factors of "2xx3=6the factors of 2×3=6
"which sum to + 7 are + 6 and + 1"which sum to + 7 are + 6 and + 1

"split the middle term using these factors"split the middle term using these factors

rArr2x^2+6x+x+3larrcolor(blue)"factor by grouping"2x2+6x+x+3factor by grouping

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

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

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

rArr2x^2+7x+3=(x+3)(2x+1)2x2+7x+3=(x+3)(2x+1)