Question

factor.
$3x^2 + 32x + 20$

Explanation:

Step1: Find two numbers that multiply to \(3\times20 = 60\) and add up to 32.

The numbers are 30 and 2, since \(30\times2 = 60\) and \(30 + 2 = 32\).

Step2: Rewrite the middle term using these two numbers.

\(3x^{2}+30x + 2x+20\)

Step3: Group the first two terms and the last two terms.

\((3x^{2}+30x)+(2x + 20)\)

Step4: Factor out the greatest common factor from each group.

\(3x(x + 10)+2(x + 10)\)

Step5: Factor out the common binomial factor \((x + 10)\).

\((3x + 2)(x + 10)\)

Answer:

\((3x + 2)(x + 10)\)