INSTRUCTORS Carleen Eaton Grant Fraser

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For more information, please see full course syllabus of Algebra 2

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### Roots and Zeros

• A polynomial of degree n has n roots.

• If the coefficients of the polynomial are real, then complex roots occur as conjugate pairs.

• Learn and understand Descartes’ rule of signs for the roots of a polynomial.

• Use synthetic substitution to find the roots of a polynomial of degree 3 or more.

### Roots and Zeros

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Numbers of Roots 0:10
• Example: Real and Complex Roots
• Descartes' Rule of Signs 3:43
• Example: Positive Real Roots
• Example: Negative Real Roots
• Finding the Roots 12:11
• Conjugate Roots 13:24
• Lecture Example 1 15:41
• Lecture Example 2 19:41
• Additional Example 3
• Additional Example 4