5.8 Rational Zero Theorem.

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Presentation transcript:

5.8 Rational Zero Theorem

Find all solutions using rational roots: 1. Use calculator to decide which roots to test. 2. Use synthetic division to find the unknown factor (Correct if remainder = 0) 3. Repeat step 1 with this new factor until you are left with a quadratic. 4. Factor the quadratic if possible 5. Set unsolved factors to zero and solve (use the quadratic formula if you were not able to factor)

1. Find all zeros of: f(x) = x3 – 7x2 + 10x + 6

Find all zeros of the function. Example 2: Find all zeros of the function. f(x) = x3 + 3x2 – 3x – 5

3. Find all zeros of: f(x) = 2x4 + 3x3 – 3x2 + 3x – 5

4. Find all zeros of: f(x) = x4 – 3x3 – 2x2 – 6x – 8

Find all zeros of: f (x) = 2x4 + 5x3 – 18x2 – 19x + 42