Using Synthetic Division to Evaluate Polynomials - Concept

Concept Concept (1)

We can use synthetic division when dividing or evaluating polynomials. To evaluate polynomials using synthetic division, we use the same process as dividing polynomials with synthetic division. When evaluating a polynomial using synthetic division, the remainder is the answer that you would arrive at if you evaluated by plugging in.

Sample Sample Problems (4)

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Using Synthetic Division to Evaluate Polynomials - Problem 1

Given P(x) = x² − 3x + 4

Find P(2).
Problem 1
How to use synthetic division to evaluate a function and why it works.
Using Synthetic Division to Evaluate Polynomials - Problem 2

Given P(x) = x³ + 6x² + 3x

Find P(-2).
Problem 2
How to use synthetic division to evaluate a function.
Using Synthetic Division to Evaluate Polynomials - Problem 3
Problem 3
Using synthetic division and the remainder theorem to evaluate a polynomial for a given input value.
Using Synthetic Division to Evaluate Polynomials - Problem 4
Problem 4
Overview of when to use synthetic division: the remainder theorem, for dividing by a binomial, determining if something is a factor, or evaluating a polynomial.