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Learning Goal

‹2 of 6 in this skill_area›

Polynomial operations (add, subtract, multiply, divide)

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"Fluently add, subtract, and multiply polynomials." "Make strategic use of algebraic structure and the properties of operations to identify and create equivalent expressions: • by factoring polynomials limited to finding a common factor, rewriting binomials that represent a difference of two squares, and rewriting trinomials as the product of two binomials. • including rewriting simple rational expressions, rewriting expressions with rational exponents in radical form, and factoring polynomials not included in the preceding bullet."

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"Fluently add, subtract, and multiply polynomials."
"Make strategic use of algebraic structure and the properties of operations to identify and create equivalent expressions:
• by factoring polynomials limited to finding a common factor, rewriting binomials that represent a difference of two squares, and rewriting trinomials as the product of two binomials.
• including rewriting simple rational expressions, rewriting expressions with rational exponents in radical form, and factoring polynomials not included in the preceding bullet."

What you'll learn

  1. Add, subtract, multiply and divide polynomials, writing each result in standard form
  2. Name the terms, coefficients, degree and leading coefficient of a polynomial
  3. Expand $(a+b)^2$, $(a-b)^2$ and $(a+b)(a-b)$, and explain from the box grid why only $(a+b)(a-b)$ has no middle term
  4. State the degree, the leading coefficient, or one coefficient of a sum or product without fully expanding it
  5. Divide a polynomial by a linear binomial by long division, reporting quotient plus remainder over divisor

Slides

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