Multiplying polynomials by monomials

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Now Playing:Multiply polynomials by monomials – Example 1a

Multiply each expression by using an area model.
1. $\left( {3x} \right)\left( {7x + 4} \right)$
2. $\left( {2x + 8} \right)\left( {1.6x} \right)$
Multiply.
1. $\left( {4.6} \right)\left( {3x - 8} \right)$
2. $\left( {5x} \right)\left( {2x - 1.2} \right)$
3. $\left( {4x - 1} \right)\left( {6x} \right)$
4. $\left( {13 - 9x} \right)\left( {2.3x} \right)$
5. $\left( {3x} \right)\left( {2x + 5y + 7} \right)$
6. $\left( {\frac{1}{4}x - 2} \right)\left( { - x} \right)$
The width of a rectangular grass field is 1.5 m shorter than 0.7 times the length.
1. Determine the expression for the area of the field.
2. If the width is 6.9 m, what is the area of the field?

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.body-katex a { word-break: break-word; } Adding and subtracting polynomials Jump to: Notes Prerequisites Related Notes This section will teach us how to multiply a polynomial (more than one term) by a monomial (one term only). We will use an area model as an aid to do the multiplication. We will then try to solve the questions without using the model. At the end, we will look at some of the related word problems. Prerequisites Understanding integer division Equivalent expressions of polynomials Multiplying and dividing monomials Related Multiplying monomial by monomial Multiplying monomial by binomial Multiplying binomial by binomial Multiplying polynomial by polynomial

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