Question

5.5 multiplying polynomials: pr(1 point)multiply the monomial and the polynomial: $4x(2x + 3)$answer:preview my answers submit answersyou have attempted this problem 0 times.you have unlimited attempts remaining.

Explanation:

Step1: Use distributive property

Multiply \(4x\) by each term in \((2x + 3)\).
\(4x\times2x+4x\times3\)

Step2: Simplify each product

For \(4x\times2x\), use the rule \(a^m\times a^n=a^{m + n}\) (here \(a = x\), \(m=n = 1\)). So \(4x\times2x=(4\times2)x^{1 + 1}=8x^{2}\).
For \(4x\times3=(4\times3)x = 12x\).

Answer:

\(8x^{2}+12x\)