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- Multiplication and Division of Polynomials

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- Intro Lesson9:15
- Lesson: 1a3:53
- Lesson: 1b3:48
- Lesson: 2a1:27
- Lesson: 2b1:24
- Lesson: 2c2:16
- Lesson: 2d1:17
- Lesson: 3a2:01
- Lesson: 3b1:50

This section will teach us how to divide a polynomial (more than one term) by a monomial (one term only). We will use a model to help us on the division. 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 , Multiplying polynomials by monomials,

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

- Introductiona)How to divide polynomials by monomials?
- 1.Divide by using a model.a)$\frac{{6{x^2} - 24x}}{{3x}}$b)$\frac{{ - 5{x^2} - 7x}}{{ - x}}$
- 2.Divide.a)$\frac{{4{x^2} + 12xy}}{{2x}}$b)$\frac{{3.5{x^2} + 2.1x}}{{7x}}$c)$\frac{{ - {x^2} - 1.8xy}}{{6x}}$d)$\frac{{ - 18{x^2} - 9x + 0.3}}{{0.3}}$
- 3.The volume of the diagram below is $45{x^2} + 3x$.

a)Write the polynomial expression for the width of the diagram.b)If x = 3 m, calculate the width and the volume.

27.

Multiplication and Division of Polynomials

27.1

Multiplying and dividing monomials

27.2

Multiplying polynomials by monomials

27.3

Dividing polynomials by monomials

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