# Polynomia homework help

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Question description

1. If -7 is a zero of a polynomial p(x), what linear polynomial must be a factor of p(x)?
2. A polynomial of degree 6 is divided into a polynomial of degree 10. What can you say about the degree of the remainder?
3. A certain polynomial f(x) is such that f(2) = -3 and f(3) = -19. Since -10 lies between -3 and –19, what must be true for some x-value between 2 and 3?
4. What is the maximum number of direction changes of a polynomial of degree 12?

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