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Multiplying polynomials by monomials
- 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
Multiplying polynomials by monomials
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
Lessons
- 1.Multiply each expression by using an area model.a)(3x)(7x+4)b)(2x+8)(1.6x)
- 2.Multiply.a)(4.6)(3x−8)b)(5x)(2x−1.2)c)(4x−1)(6x)d)(13−9x)(2.3x)e)(3x)(2x+5y+7)f)(41x−2)(−x)
- 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?
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6.
Expressions and Equations
6.1
Patterns
6.2
Adding and subtracting polynomials
6.3
Solving linear equations using distributive property: a(x+b)=c
6.4
Multiplying polynomials by monomials
6.5
Solving linear equations using multiplication and division
6.6
Solving two-step linear equations: ax+b=c, ax+b=c
6.7
Solving one - step equations: x+a=b
6.8
Solving linear equations with variables on both sides
Don't just watch, practice makes perfect
Practice topics for Expressions and Equations
6.2
Adding and subtracting polynomials
6.3
Solving linear equations using distributive property: a(x+b)=c
6.4
Multiplying polynomials by monomials
6.5
Solving linear equations using multiplication and division
6.6
Solving two-step linear equations: ax+b=c, ax+b=c
6.8
Solving linear equations with variables on both sides