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Polynomial synthetic division

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SAT Test Prep
27. Polynomial Functions
27.3 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.

This Unit Includes

4 Video lessons
Practice exercises

Skills

Synthetic Division
Polynomials
Division Algorithm
Quotient and Remainder
Coefficients
Linear Divisors
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