A-APR.2 Know and apply the Remainder Theorem: 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.
A-APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication add, subtract, and multiply polynomials. Perform arithmetic operations on polynomials. A-APR Arithmetic with Polynomials and Rational Expressions. A-SSE.4 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. Write expressions in equivalent forms to solve problems. A-SSE.2 Use the structure of an expression to identify ways to rewrite it. A-SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. A-SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. A-SSE.1 Interpret expressions that represent a quantity in terms of its context. N-CN.9 Know the Fundamental Theorem of Algebra show that it is true for quadratic polynomials. N-CN.8 Extend polynomial identities to the complex numbers. Use complex numbers in polynomial identities and equations.
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