MA19.PRE.6
Analyze possible zeros for a polynomial function over the complex numbers by applying the Fundamental Theorem of Algebra, using a graph of the function, or factoring with algebraic identities.
Analyze possible zeros for a polynomial function over the complex numbers by applying the Fundamental Theorem of Algebra, using a graph of the function, or factoring with algebraic identities.
Unpacked Content
UP:MA19.PRE.6
Vocabulary
- Zeros
- Fundamental Theorem of Algebra
- Quadratic Polynomial
Knowledge
Students know:
- The definition of the degree of a polynomial.
- The difference between real and complex roots.
Skills
Students are able to:
- Find roots of a polynomial algebraically and/or graphically.
- Rewrite an imaginary number as a complex number.
Understanding
Students understand that:
- The degree of a polynomial determines the number of roots, some which may be real, complex, or used more than once.
- Only real roots will be x-intercepts on a graph.
