Chapter 0, Problem 6PR

To determine

The product of the given expression.

Answer to Problem 6PR

The product is $x^2+5x+4$ .

Explanation of Solution

Given information:

The given expression is:

  $(x+1)(x+4)$ .

Calculation:

The given expression is:

  $(x+1)(x+4)$ .

By multiplying the expression,

  $\begin{array}{l}(x+1)(x+4)\\ =x(x+4)+1(x+4)\\ =x^2+4x+x+4\\ =x^2+5x+4\end{array}$

  $\therefore$ The product is $x^2+5x+4$ .