ALG1.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.

Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
polynomialdegreequotientdivisordividend
Skills
  • 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 and the degree of the divisor does not exceed the degree of the dividend) #dok2
  • divide (polynomials with degrees not exceeding degree of dividend by degree of divisor) #dok2
  • apply (division algorithms to find quotients of polynomials) #dok2
  • analyze (polynomial division problems for degree requirements and proper setup) #dok3
Learning Targets
  • I can identify the degree of polynomials and determine if the divisor’s degree does not exceed the dividend’s degree. #dok1
  • I can describe the process of dividing a polynomial by another polynomial. #dok1
  • I can determine the quotient when dividing a polynomial of degree one or two by another polynomial of degree one or two. #dok2
  • I can divide polynomials, ensuring the divisor’s degree does not exceed the dividend’s, using appropriate methods. #dok2
  • I can use the long division or synthetic division algorithm to find quotients of polynomials. #dok2
  • I can analyze a division problem to verify degree requirements and choose the correct division method. #dok3
  • I can explain how the degree of the divisor affects the result of polynomial division. #dok3
Big Ideas
  • Polynomial division allows us to express one polynomial as a product and a remainder, which is fundamental in algebraic manipulation and problem solving.
  • Understanding the relationship between the degrees of the dividend and divisor is crucial for correctly applying division to polynomial expressions.
Essential Questions
  • How does dividing polynomials of different degrees compare to dividing whole numbers?
  • Why is it important for the degree of the divisor not to exceed the degree of the dividend when dividing polynomials?
  • What methods can be used to divide polynomials, and when should each method be applied?
  • How can you verify that your quotient and remainder from a polynomial division are correct?
  • In what real-world situations might dividing polynomials be useful?