No additional information needed

Polynomials: When we count roots, we mean with multiplicity unless otherwise stated. That is, O(x) = (x -2) has two roots. Polynomials are over a field unless otherwise specified. 1. If two polynomials of degree 7 in share _ points then they must be the same (working (mod 17).) (Answer is the smallest integer that makes the statement true.) 2. If a non-zero polynomial has d roots it must have at least degree 3. How many roots does the polynomial, x3 -2 (mod 5) have? 4. If a polynomial has d roots it's degree is at most d. O True False 5. Given a polynomial O(x) = P(x)(x -2)(x -4), and d is the degree of Q(x), what is the degree of P(x)? 6. Given a polynomial O(x) = P(x) (x-2)(x -4), and if P(x) has r roots, what is the number of roots for Q(x)