How to Make a 5th Degree Polynomial

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When making a 5th degree polynomial, it is important to understand exactly what the term "degree" means in that situation. Make a 5th degree polynomial with help from an experienced educator in this free video clip.

Part of the Video Series: Lessons in Math
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Video Transcript

Hi, my name is Marija. I'm a mathematician, and today I'm going to show you how to make a fifth degree polynomial. So, the important thing to know is what degree means when we're talking about polynomials, because it doesn't mean the same thing as science. So, a degree in a polynomial is simply the highest exponent. It's the highest exponent in a polynomial. So, if I want a fifth degree polynomial, all that means is that--I'm going to choose the variable X--my highest exponent is going to be a five. So, all of my other terms can be whatever I want them to be, but it has to be a degree of five. So, I can add a coefficient to this if I want, or I can leave it just X to the fifth if I wanted to. And now I can add some other terms as long as none of the exponents are greater than five. So, I can say, plus four X cubed, minus two X, plus seven. And now I've got a fifth degree polynomial, because the highest exponent was five. My name is Marija, and I just showed you how to make a fifth degree polynomial.


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