Polynomial Long Division Worksheet

What is a polynomial?

It is an expression that consists of various coefficients and variables. It involves operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. Here’s how a polynomial looks: x² − 3x + 5.

What is ‘long division’?

It is a division algorithm that is performed to divide multi-digit numbers. The purpose of it is to break down/divide a problem into a series of steps.

Dividing Polynomials Long Division Worksheets

Check out these dividing polynomial long division worksheets below.

Divide the polynomial on the worksheet: Polynomial long division worksheets for kids
Divide the equation using long division method: Free printable polynomial long division worksheet

To help your child with polynomial long division, we’ve got some polynomial long division worksheets! But before we introduce you to these polynomial long division worksheets, here’s the method to work it out –

Polynomial Long Division: The Method

For example, if we want to divide x² + 2x – 7 by x – 2, we would need to:

  1. Write down the denominator first
  2. Then mark a “)” next to it
  3. Then the numerator with a line above

Make sure to write the polynomial in such a way that it has the “higher order” terms first. The figures with the largest exponents come first.

Next, you will need to:

  1. Divide the 1st term of your numerator by the 1st term of the denominator and write down the answer
  2. Multiply the denominator by that answer and write the result below the numerator
  3. Create a new polynomial by subtracting both

Repeat these 3 steps to create a new polynomial. Lastly, check your answer by multiplying the answer by the bottom polynomial. You should get the top polynomial as a result.

We hope your kids find these polynomial long division worksheets helpful! For more math activities, visit Math Games for Kids, and Math Activities.

Frequently Asked Questions on Polynomial Long Division Worksheet

What is polynomial long division worksheet?

The Polynomial long division worksheet are those worksheets that help kids learn and practice division. Polynomial is a mathematical expression that comprise a number of variables and coefficients. On the other hand, long division is an algorithm performed to divide the polynomial with other polynomial of same degree.

Are polynomial long division worksheet important for children?

Yes, practicing the polynomial long division worksheet help kids to get an idea about the concept and learn division in an easy way. These worksheets also help them to practice and learn at their own pace by motivating them to perform more number of long division problems.

Do kids learn from practicing polynomial long division worksheet?

Yes, kids learn from practicing polynomial long division worksheet. When they practice, they get to understand and learn the new ways of diving the multi digit numbers in an easy way. Children can also practice these worksheets as many times they want to.