Algebra 2: Resources and Extra Practice - 3.02 Theorems of Algebra

Algebra 2: Resources and Extra Practice

3.02 Theorems of Algebra

Essential Question:

What key features of a polynomial can be found using the Fundamental Theorem of Algebra and the Factor Theorem?
How does the Remainder Theorem allow for zeros of a polynomial to be identified?

Lesson302.mp4

Lesson 3.02 Video - If the video does not load correctly, Click Here to watch.

Khan Academy Resources

The Fundamental theorem of AlgebraSal introduces the Fundamental Theorem of Algebra, which, as is reflected in its name, is a very important theorem about polynomials.

Intro to the Polynomial Remainder TheoremThe Polynomial Remainder Theorem allows us to determine whether a linear expression is a factor of a polynomial expression easily. Check it out!

Remainder theorem: finding remainder from equationSal finds the remainder of (-3x^3-4x^2+10x-7) divided by (x-2) using the PRT (Polynomial Remainder Theorem).

Remainder theorem: checking factorsSal checks whether (x-3) is a factor of (2x^4-11x^3+15x^2+4x-12) using the factor theorem.

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