question\nfactor the trinomial:\n$3x^{2}+17x + 20$\nanswer attempt 1 out of 2

Explanation:

Step1: Multiply leading and constant terms

$3\times20 = 60$

Step2: Find two numbers for 60

We need two numbers that multiply to 60 and add up to 17. The numbers are 12 and 5 since $12\times5=60$ and $12 + 5=17$.

Step3: Rewrite middle - term

$3x^{2}+12x + 5x+20$

Step4: Group the terms

$(3x^{2}+12x)+(5x + 20)$

Step5: Factor out GCF from each group

$3x(x + 4)+5(x + 4)$

Step6: Factor out common binomial

$(3x + 5)(x + 4)$

Answer:

$(3x + 5)(x + 4)$