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STANDARDS

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US-SC

Math

South Carolina Math

Pre-Calculus: Arithmetic with Polynomials and Rational Expressions

PC.AAPR.2

Fully covered
Know and apply the Division Theorem and the Remainder Theorem for polynomials.
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PC.AAPR.3

Mostly covered
Graph polynomials identifying zeros when suitable factorizations are available and indicating end behavior. Write a polynomial function of least degree corresponding to a given graph.
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PC.AAPR.4

Fully covered
Prove polynomial identities and use them to describe numerical relationships.
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PC.AAPR.5

Fully covered
Apply the Binomial Theorem to expand powers of binomials, including those with one and with two variables. Use the Binomial Theorem to factor squares, cubes, and fourth powers of binomials.
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PC.AAPR.6

Fully covered
Apply algebraic techniques to rewrite simple rational expressions in different forms; using inspection, long division, or, for the more complicated examples, a computer algebra system.

PC.AAPR.7

Fully covered
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.