Dividing polynomials by monomials

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

?
Intros
Lessons
  1. How to divide polynomials by monomials?
?
Examples
Lessons
  1. Divide by using a model.
    1. 6x224x3x\frac{{6{x^2} - 24x}}{{3x}}
    2. 5x27xx\frac{{ - 5{x^2} - 7x}}{{ - x}}
  2. Divide.
    1. 4x2+12xy2x\frac{{4{x^2} + 12xy}}{{2x}}
    2. 3.5x2+2.1x7x\frac{{3.5{x^2} + 2.1x}}{{7x}}
    3. x21.8xy6x\frac{{ - {x^2} - 1.8xy}}{{6x}}
    4. 18x29x+0.30.3\frac{{ - 18{x^2} - 9x + 0.3}}{{0.3}}
  3. The volume of the diagram below is 45x2+3x45{x^2} + 3x.
    Dividing polynomials by monomials
    1. Write the polynomial expression for the width of the diagram.
    2. If x = 3 m, calculate the width and the volume.
Topic Notes
?
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.