# Algebra: Arithmetic with Polynomials and Rational Functions Archive

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• ### MI.Math.Content.HSA-APR.C.4

Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)^2 =…

• ### MI.Math.Content.HSA-APR.C.5

(+) Know and apply that the Binomial Theorem gives the expansion of (x + y)^n in powers of x…

• ### MI.Math.Content.HSA-APR.D.6

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),…

• ### MI.Math.Content.HSA-APR.D.7

(+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and…

• ### MI.Math.Content.HSA-APR.A.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition,…

• ### MI.Math.Content.HSA-APR.B.2

Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by…

• ### MI.Math.Content.HSA-APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of…