ALG2.MATH.7.C
Determine the quotient of a polynomial of degree three and of degree four when divided by a polynomial of degree one and of degree two.
Algebra II · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
quotientpolynomialdegree threedegree fourdivisionpolynomial of degree onepolynomial of degree two
Skills
- determine (the quotient of a polynomial of degree three when divided by a polynomial of degree one) #dok2
- determine (the quotient of a polynomial of degree three when divided by a polynomial of degree two) #dok2
- determine (the quotient of a polynomial of degree four when divided by a polynomial of degree one) #dok2
- determine (the quotient of a polynomial of degree four when divided by a polynomial of degree two) #dok2
- apply (methods of polynomial long division and synthetic division) #dok1
Learning Targets
- I can apply polynomial long division to divide polynomials. #dok1
- I can use synthetic division to divide a polynomial by a linear binomial when possible. #dok1
- I can identify the degree of polynomials in a given expression. #dok1
- I can determine the quotient when a degree three polynomial is divided by a degree one polynomial. #dok2
- I can determine the quotient when a degree four polynomial is divided by a degree one or degree two polynomial. #dok2
- I can determine the quotient when a degree three polynomial is divided by a degree two polynomial. #dok2
- I can justify each step in the polynomial division process. #dok3
- I can explain my reasoning when selecting a division method for specific polynomials. #dok3
- I can analyze and check the correctness of a polynomial quotient by performing multiplication or substitution. #dok3
Big Ideas
- Understanding division of polynomials allows us to simplify expressions and solve higher-level math problems.
- Knowing how to determine the quotient of one polynomial divided by another helps in factoring, simplifying, and analyzing polynomial functions.
Essential Questions
- How can you determine which method is most appropriate for dividing two polynomials?
- What is the process for dividing a degree three or degree four polynomial by a lower-degree polynomial?
- How does polynomial division relate to factoring and simplifying polynomial expressions?
- What potential errors could occur in polynomial division, and how can you check your work?
- Why is it important to understand the relationships between the degrees of polynomials in division problems?