Unpacked Content
Knowledge
Students know:
- Procedures for dividing a polynomial p(x) by a linear polynomial (x - a).
Skills
Students are able to:
- Accurately perform procedures for dividing a polynomial p(x) by a linear polynomial (x - a),
- Evaluate a polynomial p(x) for any value of x.
Understanding
Students understand that:
- There is a structural relationship between the value of a in (x - a), as well as the remainder when p(x) is divided by (x - a).
- If p(a)=0, then x-a if a factor of p(x).
Vocabulary
- If and only if
- Remainder theorem