How to Create a Polynomial Function

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Creating a polynomial function will require you to pay close attention to all variables. Create a polynomial function with help from an experienced math professional in this free video clip.

Part of the Video Series: Solving Math Problems
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Hi, I'm Ryan Ault, I'm a physicist. And this is how to create a polynomial function. The general form for a polynomial, we could call it P, is equal to A-X to the N, plus B-X to the N minus one, plus C-X to the N minus two. And this can go on until you reach X to the zero. Now, what you should find is that A, B, C, etc., are all constant coefficients. And inside of this polynomial, the only operations are addition/subtraction. And that would just be the case if you have a negative coefficient. And you also have multiplication, because you're multiplying the coefficients by each term. And you can also have division, if they're one over some integer. And the last step is that you just have exponents in the equation. One thing you should note, is that these constants do not have to have a value greater than zero. It could be zero. If B for instance, was equal to zero, then we would lose that term. And our polynomial would A-X to the N, plus C-X to the N minus two, so on and so forth. And as we see, this is our equation, this is the polynomial we've created using only addition, subtraction, multiplication, division and exponents. I'm Ryan Ault, and this is how to create a polynomial equation.

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