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- Multiplication and Division of Polynomials

Still Confused?

Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Get Started Now- Lesson: 1a2:15
- Lesson: 1b1:52
- Lesson: 2a1:16
- Lesson: 2b1:02
- Lesson: 2c0:57
- Lesson: 2d1:18
- Lesson: 2e1:25
- Lesson: 2f1:20
- Lesson: 3a1:43
- Lesson: 3b1:39

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.

Basic Concepts: Understanding integer division, Equivalent expressions of polynomials, Multiplying and dividing monomials

Related Concepts: Multiplying monomial by monomial, Multiplying monomial by binomial, Multiplying binomial by binomial, Multiplying polynomial by polynomial

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

21.

Multiplication and Division of Polynomials

21.1

Multiplying and dividing monomials

21.2

Multiplying polynomials by monomials

21.3

Dividing polynomials by monomials

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