- standard
Use polynomial identities to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Arithmetic with Polynomials and Rational Functions
(+) Know and apply that the Binomial Theorem gives the expansion of (x + y)^n in powers of x…
- standard
Use polynomial identities to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Arithmetic with Polynomials and Rational Functions
Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x^2 + y^2)^2 =…
- standard
Understand the relationship between zeros and factors of polynomial
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Arithmetic with Polynomials and Rational Functions
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of…
- standard
Understand the relationship between zeros and factors of polynomial
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Arithmetic with Polynomials and Rational Functions
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by…
- standard
Perform arithmetic operations on polynomials
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Arithmetic with Polynomials and Rational Functions
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition,…
- standard
Write expressions in equivalent forms to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Seeing Structure in Expressions
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and…
- standard
Write expressions in equivalent forms to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Seeing Structure in Expressions
Use the properties of an expression to identify ways to rewrite it. For example, see x4 - y4 as…
- standard
Write expressions in equivalent forms to solve problems
- 9th - 12th Grade
- Michigan State Math Standards
- Algebra: Seeing Structure in Expressions
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.