Synthetic Division Worksheet (With Answer key + PDF)

What is the “Synthetic Division Worksheet with Answers”?

This worksheet will discuss the basic operation which is specifically the division operation. This worksheet will focus mainly on the process or method that is related to the synthetic method of dividing equations.

How will the “Synthetic Division Worksheet with Answers” help you?

This worksheet will help you improve skills in solving division specifically using the synthetic method of division. This will also enhance skills and speed in solving the equations especially when concerning polynomials.

This worksheet will also evaluate the learners through recalling concepts, math drills, and real life application.

What is synthetic division?

In mathematics, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

Instructions on using the “Synthetic Division Worksheet with Answers”

Use this worksheet to enhance skills in dividing polynomials by linear equations and to prepare for higher math topics. After a short discussion, the learner will be asked to enumerate the steps in using the synthetic method of division to recall the concept.

A math drill will also be given to apply the steps learned by the learner during the discussion.

Finally, the last task would be a reflective question for the learners to know the importance of the topic in real life.


Dividing equations especially involving polynomials and linear equations is an important topic to be discussed and for the learners to understand fully since it becomes a foundation on countless topics especially in higher mathematics.

Being able to know how to do a synthetic method of division is a very useful and essential skill while it also recalls your knowledge in the past topics of mathematics and will be able to help you in the future topics and concepts of mathematics.

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