Summary

These notes cover the topic of polynomials, defining terms like numerical coefficient, degree, constant, and identifying different types of polynomials (monomial, binomial, trinomial). It also includes examples of modelling polynomials with tiles.

Full Transcript

5.1.notebook January 28, 2025 Unit 5: Polynomials 5.1 Modelling Polynomials ­ here we are going to look at different things with respect to polynomials ­ a polynomial is one term or the sum of terms whose variables have whole­number exp...

5.1.notebook January 28, 2025 Unit 5: Polynomials 5.1 Modelling Polynomials ­ here we are going to look at different things with respect to polynomials ­ a polynomial is one term or the sum of terms whose variables have whole­number exponents 1 5.1.notebook January 28, 2025 ­ Polynomials do not have a square root for the variable, the variable in the denominator, or a fraction or decimal in the power of the variable. 2 5.1.notebook January 28, 2025 terms ­ a number, a variable, or the product of numbers and variables. 3 5.1.notebook January 28, 2025 constant ­ is the term without a variable 4 5.1.notebook January 28, 2025 numerical coefficient ­ this is the number with the variable 5 5.1.notebook January 28, 2025 degree ­ this is the highest power of the variable in a polynomial 6 5.1.notebook January 28, 2025 7 5.1.notebook January 28, 2025 equivalent polynomials ­ this is when polynomials are in either a) the terms are in a different order b) they represent the same values 8 5.1.notebook January 28, 2025 Modelling with tiles ­ here are the tiles we will use to model polynomials 9 5.1.notebook January 28, 2025 ex: Model the polynomials below using tiles a) X2 ­ 5x + 3 b) 4x ­2 c) ­3x2 10 5.1.notebook January 28, 2025 ex: Name the polynomial represented by the tiles 11 5.1.notebook January 28, 2025 ex: write two sets of tiles that represents the following ­2x2 + 3 we got to use zero pairs for another set 12

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