Caddell Prep Access Menu

Divide a Polynomial by a Monomial

In this video, learn how to divide a polynomial by a monomial.

In this video, we are going to look at how to divide a polynomial by a monomial.

For example:
To solve:
(12x^3+8x^2+16x) \div 4x
we will divide each term in the numerator separately by the denominator of 4x.
So:
12x^3 \div 4x=3x^2
8x^2 \div 4x=2x
16x \div 4x=4
Therefore, the final answer is:
3x^2+2x+4

Video-Lesson Transcript

In this short video, we’re going to review dividing a polynomial by a monomial.

For example:

We have a polynomial 12x^3 + 8x^2 + 16x divided by 4x.

The very important point n dividing a ploynomial by a monomial is you should divide each term of the numerator by the denominator.

Let’s go through this

\dfrac{12x^3 + 8x^2 + 16x}{4x^1}
13x^2 + 2x + 4

To recap, in dividing a polynomial by a monomial, we have to divide each term on the numerator by the denominator.

Each term must be able to be divided by the denominator in order to do so.