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Transcript
Algebra Seminar Introduction to Polynomials IDENTIFYING PARTS OF A MONOMIAL Exponent Coefficient Variable Let’s try an example: Identify the coefficient, variable, and exponent: Exponent Coefficient Variable WAYS TO CLASSIFY POLYNOMIALS We can classify polynomials by the number of terms: Monomial: 1 term Think about other words with the prefix mono: monotone, monochromatic, monologue Binomial: 2 terms Think about other words with the prefix bi: bicycle, bifocals, bimonthly Trinomial: 3 terms Think about other words with the prefix tri: tricycle, triathlon, triceratops OR by the degree of the polynomial...More on this later... Let’s take a closer look at Polynomials are fun! classifying polynomials by number of terms... CLASSIFYING POLYNOMIALS BY NUMBER OF TERMS Monomial: a number, a variable, or the product of a number and one or more variables. We are also going to call this a term. Let’s check out some examples of monomials: A monomial with no variables is called a constant. CLASSIFYING POLYNOMIALS BY NUMBER OF TERMS Binomial: a polynomial with 2 terms Let’s check out some examples of binomials: Trinomial: a polynomial with 3 terms Let’s check out some examples of trinomials: CLASSIFYING POLYNOMIALS BY DEGREE Finding the degree of a Monomial: The sum of the exponents of its variables. Example 1: Example 2: Finding the degree of a Polynomial: same as that of its term with the greatest degree. Example 1: Example 2: The CLASSIFYING POLYNOMIALS BY DEGREE Degree Name Example NON-EXAMPLES OF POLYNOMIALS Fractions, Division Square Roots Variables as the exponent Negatives as the exponent