(Answered) Question 1 let px x5 8x4 - 30x3 30x2

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Question: 1. Let p(x) = x⁵ + 8x⁴ - 30x³ + 30x² - 31x + 22. What is the relationship between p(x) and f(x)=5x⁴ + 32x³ - 90x² + 60x - 31? What do the values of p(1) and p(2) tell you about the values of f(x)?

2. Let p(x) be a seventh-degree polynomial with 7 distinct zeros. How many zeros does p'(x) have?

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