4.3 Remainder and factor theorems
Unit 4 · Polynomials and polynomial functions
Ideas in this lesson
Evaluate a remainder
The remainder when P(x) is divided by x − r is P(r).
Test a factor
The binomial x − r is a factor exactly when P(r) = 0.
Determine a missing coefficient
If x − r is a factor, substitute r, set the output to zero, and solve for the coefficient.
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