📉Characteristics of Polynomial Functions in 5 minutes 📉

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🎯Learning Goals:

By the end of this video, you will be able to learn the characteristics of the polynomial functions

1️⃣ If a polynomial function has an odd degree, it must have at least one x-intercept, and an even number of turning points
2️⃣ If a polynomial function has an even degree, it may have no x-intercepts, and an odd number of turning points
💚 An odd degree polynomial function extends from Q3 to Q1 if it has a positive leading coefficient
💜 An odd degree polynomial function extends from Q2 to Q4 if it has a negative leading coefficient
💚 An even degree polynomial function extends from Q2 to Q1 if it has a positive leading coefficient
💜 An even degree polynomial function extends from Q3 to Q4 if it has a negative leading coefficient

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👩‍🏫 About me:
I am a licensed high-school mathematics/science teacher and a part-time professor in one of Canada's top colleges. I create math tutorial videos with step-by-step instructions. My extensive background in high-school and college-level mathematics teaching has allowed me to make these short videos.
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