Polynomial functions are explored in the beginning of this 14 lesson unit. Students use factors of polynomials as well as their long-run behavior to sketch graphs of polynomial functions. Polynomial identities are used to justify algebraic and geometric relationships. Rational expressions are introduced along with restrictions on their domains. Students then become fluent in classic rational algebra, including simplifying, multiplying, dividing, and summing rational expressions. Polynomial long-division is used to rewrite rational expressions in quotient-remainder form and the remainder theorem is then introduced and used to justify factors of polynomial expressions. Rational equations and inequalities are solved and extraneous roots explored.
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