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Long Division & Synthetic Division Examples and Explanations

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Created on November 23, 2024

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Synthetic Division You will find various problems and solutions so you can practice and check

Long Division vs. Synthetic Division - All in One

Remainder

Dividend

Divisor

Quotient

Division Terms

Not Linear. Would need to use long division!

Linear. Can use synthetic division

  • Is a shortcut for long division
  • Only works if the divisor is linear

Synthetic Division

Intro to Synthetic Division

Try answering the problem below check your answer

Try it!

no remainder so (x-3) is a factor

Is a remainder so (x+2) is not a factor

If there is no remainder this means the divisor is a factor of the dividend.

Is it a factor?

What if there is a coefficient in the divisor?

Try answering the problem below check your answer

Try it!

Notes Page

Polynomial Division Recap!

Notes Page

Polynomial Division Recap!

Notes Page

Complete problems and check your answers!

Notes Page

Complete problems and check your answers!

Notes Page

Complete problems and check your answers!

Notes Page

Complete problems and check your answers!

Notes Page

Complete problems and check your answers!

Notes Page

Complete problems and check your answers!

Below is a help video if needed! You are now an expert!