Template 1
Math II · N-CN.8
Extend polynomial identities to complex numbers, such as factoring sums of squares over the complex numbers.
Extend polynomial identities to complex numbers, such as factoring sums of squares over the complex numbers.
Concept
Number and Quantity
Domain
The Complex Number System
Problem Types
Problem Templates In This Objective
9 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.
Template 2
Verify a sum-of-squares factorization over the complex numbers
Template 3
Factor a sum of squares of the form x²+k over the complex numbers
Template 4
Factor an expression of the form A²+B² over the complex numbers
Template 5
Solve u²+b²=0 by factoring into complex conjugates
Template 6
Decide whether a proposed algebraic identity is true for complex numbers
Template 7
Factor polynomials completely over the complex numbers using the sum-of-squares identity
Template 8
Compare separate real and complex linear factorizations
Template 9