###### Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Polynomial Vocabulary - Problem 1

# Polynomial Vocabulary - Concept

Alissa Fong
###### Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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We have rational functions whenever we have a fraction that has a polynomial in the numerator and/or in the denominator. An excluded value in the function is any value of the variable that would make the denominator equal to zero. To find the domain, list all the values of the variable that, when substituted, would result in a zero in the denominator.

When you guys get to the part of your class where you're setting polynomials you're ready for a pretty good chapter. It's a chapter that for many students is not too difficult as long as they can remember some vocabulary. This is what we're going to talk about here, there's a of vocabulary involved with polynomials. First thing is we got to figure out what a monomial is, a monomial is a number, variable or product with non-fractional exponents. So it might look like this, boom that's a monomial. Or I could write this, again it's a monomial, that guy is a product meaning things are being multiplied together. You could also have negative numbers something like that or you could have fractions in your constant terms, x to the 100th doesn't matter. As long as you have products without plus signs or minus signs and as long as you don't have any negatives or fractional exponents you have a monomial.
Let me show you some things that are not monomials if I have something like 4 to the negative 6, negative exponent bad not a monomial. Sometimes negative exponents as you guys might know means you write it in the bottom of the fraction. So if I had something like x to the negative third which is also written as 1 over x to the third, that's not a monomial because we have a negative exponent going on, bad not a monomial. One other thing you might see is something with a square root, like if I had 2 to the one half power, that's a fractional exponent not a monomial. This is what monomials do look like, one other thing that's not a monomial is anything that has a plus or minus sign, x plus y not a monomial.