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Grade 12 Math
3. Polynomial Functions
3.3 Polynomial synthetic division
Polynomial synthetic division
What You'll Learn
Identify when synthetic division can be used as a shortcut method
Set up synthetic division by writing coefficients and determining the divisor value
Perform synthetic division to find quotient and remainder efficiently
Adjust quotient coefficients when the divisor has a leading coefficient other than 1
Verify results by writing division statements in two different forms
What You'll Practice
1
Dividing polynomials by linear expressions using synthetic division
2
Adding placeholders for missing terms in polynomials
3
Adjusting quotients when divisors have coefficients other than 1
4
Writing division statements in both multiplication and quotient forms
Why This Matters
Synthetic division is a powerful time-saving technique you'll use throughout algebra and calculus. While long division always works, mastering synthetic division lets you solve polynomial division problems in a fraction of the time when dealing with linear divisors.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Skills
Synthetic Division
Polynomials
Division Algorithm
Quotient and Remainder
Coefficients
Linear Divisors
