# Dividing Polynomials; Remainder and Factor Theorems

**Factor** Theorem: c is a zero of P if and only if x – c is a **factor** of P(x). Example 6: Use the **Factor** Theorem to show that . 1 2 x + is a **factor** of . P (x) = 2. x. 3 + 5. x. 2 + 4. x + 1. Solution: In order to show that . 1 2 x + is a **factor** of P(x) = 2x3 + 5x2 + 4x + 1, we must show that 1 2 −. is a zero of P, or that . 1 2 P ⎛⎞ ⎜− ...

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