Curriculum placement
Precalculus. This describes the skill, not a learner estimate.
Factoring over the complex numbers
Extend factorization identities to complex coefficients
Problem types
- Factor and solve over the complex numbers
Builds on
Leads to
- Fundamental theorem of algebra
- Proving a polynomial identity · Extend the idea
The difference of squares identity extends to a sum of squares over the complex numbers: x squared + 1 = (x + i)(x - i).
- Zeros and factors of a polynomial · See it applied
Writing a polynomial as a product of complex linear factors shows each zero and its multiplicity.
Related skills
- The binomial theorem · Shared foundations
- The conjugate of a complex number · Shared foundations
- The complex plane · Shared foundations
- Dividing polynomials · Shared foundations
Open the interactive map to explore lessons and skill connections.