Chapter 14, Problem 26SGR

To determine

To calculate: The multiplication of the factored form of the polynomial $\left(3x+5\right)4x$ .

Answer to Problem 26SGR

The multiplication of the polynomial expression $\left(3x+5\right)4x$ is $12x^2+20x$ .

Explanation of Solution

Given Information:

The expression is $\left(3x+5\right)4x$ .

Formula Used:

Distribution formula is:

  $\begin{array}{c}\left(a+b\right)\left(c+d\right)=a\left(c+d\right)+b\left(c+d\right)\\ =a\times c+a\times d+b\times c+b\times d\end{array}$

Calculation:

The given expression is $\left(3x+5\right)4x$ .

Now find the multiplication of the polynomial $\left(3x+5\right)4x$ .

Use the formula $\left(a+b\right)\left(c+d\right)=a\left(c+d\right)+b\left(c+d\right)=a\times c+a\times d+b\times c+b\times d$

  $\begin{array}{c}\left(3x+5\right)4x=\left(3x\right)\left(4x\right)+5\left(4x\right)\\ =12x^2+20x\end{array}$

Hence, the requiredmultiplication of the polynomial expression $\left(3x+5\right)4x$ is $12x^2+20x$ .