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Long division and synthetic division
Learn step-by-step with practice exercises built right in.
Same process as numerical long division!
Steps:
Example:
Use synthetic division:
Avoid these 3 frequent errors
See how this math is used in the real world
Solve .
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Result: with remainder
Only works when dividing by
Much faster than long division!
Steps:
Example:
Use :
Result: with remainder
When dividing by :
Where is quotient, is divisor, is remainder
Divisor is , so use
Coefficients:
Process:
Answer: Quotient , remainder
Divide:
Use synthetic division with
Use the Remainder Theorem to find the remainder when is divided by
By the Remainder Theorem, the remainder equals .
Bottom row interpretation:
Answer:
Answer: Remainder is