Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.6

Factor polynomials using common factoring techniques, and use the factored form of a polynomial to reveal the zeros of the function it defines.

Unpacked Content

Knowledge

Students know:
  • Common factoring techniques.
  • When a factorization of a polynomial reveals a root of that polynomial.
  • When a rearrangement of the terms of a polynomial expression can reveal a recognizable factorable form of the polynomial.
  • Relationships of roots to points on the graph of the polynomial.

Skills

Students are able to:
  • Use techniques for factoring polynomials.
  • Use factors of polynomials to find zeros.

Understanding

Students understand that:
  • Important features of the graph of a polynomial can be revealed by its zeros and by inputting values between the identified roots of the given polynomial.

Vocabulary

  • Factorization
  • Zeros
  • Polynomial
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