factor the quadratic expression completely. $2x^{2}+7x + 3=$

Answer:

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

Explanation:

Step1: Multiply leading and constant terms

$2\times3 = 6$

Step2: Find two numbers for 6 that sum to 7

Numbers are 6 and 1 since $6 + 1=7$ and $6\times1 = 6$

Step3: Rewrite middle - term

$2x^{2}+6x + x+3$

Step4: Group the terms

$(2x^{2}+6x)+(x + 3)$

Step5: Factor out GCF from each group

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

Step6: Factor out common binomial factor

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