Polynomial Long Division Calculator
How It Works
This polynomial long division calculator uses established formulas to provide accurate results.
The basic rule:
- (ax² + bx + c) ÷ (dx + e) = quotient + remainder/(dx+e)
- Divide leading terms, multiply back, subtract, repeat
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
How does polynomial long division work?
It works like numerical long division. Divide the leading term of the dividend by the leading term of the divisor to get the first term of the quotient. Multiply the entire divisor by that term, subtract from the dividend, and repeat with the new polynomial.
What do you do with the remainder?
If there is a nonzero remainder, write it as a fraction over the divisor. The full answer is: quotient + remainder/divisor.
When do you use polynomial long division?
Use it to simplify rational expressions, find oblique asymptotes, or as an alternative to synthetic division when the divisor is not in the form (x - c).