LAC 28:CXLII.2509. Arithmetic with Polynomials and Rational Expressions

A. Understand the relationship between zeros and factors of polynomials. 1. Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. B. Use polynomial identities to solve problems. 1. Describe numerical relationships using polynomial identities. C. Rewrite rational expressions. 1. Rewrite simple rational expressions in different forms. Write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.