Question 1

What is a Synthetic Division?

Accepted Answer

Synthetic division is a shorthand method for dividing a polynomial by a linear factor (x − r). It is faster than long division and directly tests whether r is a root of the polynomial.

Question 2

How does the Synthetic Division work?

Accepted Answer

Write coefficients in a row Then: Drop first coefficient; multiply by root r Then: Add to next coefficient; repeat Then: Last value is remainder; others are quotient coefficients.

Question 3

Can you give an example of how to use the Synthetic Division?

Accepted Answer

Example: Input x³−6x²+11x−6 ÷ (x−1) gives a result of Quotient: x²−5x+6, Remainder: 0 (so x=1 is a root).

Question 4

Is the Synthetic Division free to use?

Accepted Answer

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

Question 5

How accurate is the Synthetic Division?

Accepted Answer

Our Synthetic Division uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Synthetic Division

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What is Synthetic Division?

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