8adv.MATH.10.C

Determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend.

Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
quotientpolynomialdegreedividenddivisor
Skills
  • determine (the quotient of polynomials of degree one and degree two when divided by a polynomial of degree one and polynomial of degree two) #dok2
  • divide (polynomials by polynomials when the degree of the divisor does not exceed the degree of the dividend) #dok2
  • analyze (the degrees of dividend and divisor to check requirements) #dok2
  • perform (polynomial long division or synthetic division as appropriate) #dok3
Learning Targets
  • I can identify the degrees of a polynomial dividend and divisor before dividing. #dok1
  • I can divide a polynomial of degree one or two by another polynomial of degree one or two. #dok2
  • I can determine the quotient when dividing a polynomial by another polynomial, given degree requirements. #dok2
  • I can analyze and choose the appropriate method (long division or synthetic division) for dividing polynomials. #dok2
  • I can perform polynomial long division to find the quotient of two polynomials. #dok3
  • I can justify my solution and verify that the degree of the divisor does not exceed the degree of the dividend. #dok3
Big Ideas
  • Polynomials can be divided using methods similar to those used with numbers, but the process and results depend on the degrees of the dividend and divisor.
  • Understanding the division of polynomials is foundational for simplifying expressions and solving polynomial equations.
Essential Questions
  • How do you determine whether you can divide one polynomial by another given their degrees?
  • What strategies or methods can be used to divide polynomials of varying degrees?
  • How does the degree of the divisor and dividend affect the division process and outcome?
  • How can you check the accuracy of your quotient after dividing polynomials?
  • Why is it important to be able to divide polynomials in algebraic problem solving?