Chapter 14.4, Problem 34HP

To determine

Toexplain:the use of models to multiply a monomial by a polynomial.

Answer to Problem 34HP

1. Make a rectangle with a width of the given monomial and length of the given polynomial.
2. Fill in the rectangles in the algebra tiles.
3. Add all the expression on the algebra tiles showing area of the rectangle.
4. Simplify the area expression.
5. This is the required multiplicationof a monomial by a polynomial.

Explanation of Solution

Using models, multiplying a monomial by a polynomial by following steps:

Make a rectangle with a width of the given monomial and length of the given polynomial.

Fill in the rectangles in the algebra tiles.

Add all the expression on the algebra tiles showing area of the rectangle.

Simplify the area expression.

This is the required multiplicationof a monomial by a polynomial.

Hence, the following steps is discussed above to multiply a monomial by a polynomial.