.4 Prove polynomial identities and use them to describe numerical relationships.

Use polynomial identities to solve problems.

.3 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.

.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.

.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.

9-12.HSA-APR Arithmetic with Polynomials and Rational Expressions.

.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.

.2 Use the structure of an expression to identify ways to rewrite it.

.1b Interpret complicated expressions by viewing one or more of their parts as a single entity.

.1a Interpret parts of an expression, such as terms, factors, and coefficients.

.1 Interpret expressions that represent a quantity in terms of its context.

Interpret the structure of expressions.

9-12.HSA-SSE Seeing Structure in Expressions.

.9 Know the Fundamental Theorem of Algebra show that it is true for quadratic polynomials.

.8 Extend polynomial identities to the complex numbers.

.7 Solve quadratic equations with real coefficients that have complex solutions.

Use complex numbers in polynomial identities and equations.

.2 Use the relation i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

.1 Know there is a complex number i such that i² = –1, and every complex number has the form a + bi with a and b real.

Perform arithmetic operations with complex numbers.

Khan academy algebra 2 review