Understand the relationship between zeros and factors of polynomials.
Arithmetic with Polynomials and Rational Expressions
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Identify zeros of polynomials when suitable factorizations are available. Use the zeros to construct a rough graph of the function defined by the polynomial.
Know and apply the Factor and Remainder Theorems: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).
Understand the relationship between zeros and factors of polynomials