Factor the polynomial P(x) 2x3 x2 2x 1. Solution: Step 1: Since P(x) is an odd-degree
Chapter 4, Problem 68(choose chapter or problem)
Factor the polynomial P(x) 2x3 x2 2x 1. Solution: Step 1: Since P(x) is an odd-degree polynomial, we are guaranteed one real zero (since complex zeros come in conjugate pairs). Step 2: Apply the rational zero test to develop a list of potential rational zeros. Possible zeros: ;1 Step 3: Test possible zeros. 1 is not a zero: P(x) 2(1)3 (1)2 2(1) 1 6 1 is not a zero: P(x) 2(1)3 (1)2 2(1) 1 2 Note: - is the real zero. Why did we not find it? 1 2 CA
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