Synthetic Division Calculator

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Synthetic Division Calculator

Divide a polynomial by a linear factor using synthetic division.

Last updated: June 2026 | By Patchworkr Team

Calculation steps
Bring down the first coefficient.
Multiply by the root and add the next coefficient.
Repeat until you reach the remainder.
Quotient and remainder
Remainder 0

What Is Synthetic Division?

Synthetic division is a shortcut for dividing a polynomial by a linear factor like x - c.

How To Use Synthetic Division

  1. Enter the coefficients in descending order.
  2. Enter the root c from the divisor x - c.
  3. Read the quotient and remainder.

Frequently Asked Questions

Does the polynomial need to be monic?

No. Any leading coefficient works.

What does the remainder mean?

It is the value left after division completes.

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