# If -7 is a zero of a polynomial p(x), what linear polynomi

If -7 is a zero of a polynomial p(x), what linear polynomial must be a factor of p(x)?A polynomial of degree 6 is divided into a polynomial of degree 10. What can you say about the degree of the remainder?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?What is the maximum number of direction changes of a polynomial of degree 12?