Polynomial function p

1. Let p(x) = 3x
3 + x
2 − 21x − 7.
(a) Find p(2) using the Remainder Theorem.
(b) Show c = −
1
3
is a zero of p and use this to find the remaining zeros of p.
2. Find the zeros of p(x) = x
2 − 2x − 4 and use them to factor p(x).

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