What does the prefix "poly" mean?
"I can define and describe polynomials by degree, terms, coefficients, constants, and/or variables."
Polynomial: A mathematical expression made up of monomials, each of which is composed of a numerical coefficient and a variable raised to a power. Monomial: 1 term Binomial: 2 terms Trinomial: 3 terms Degree of a Polynomial: The highest power of the variable in a polynomial expression, which determines the number of terms in the polynomial. Term: Each monomial in a polynomial that is separated between plus or minus signs. Coefficient: The numerical factor that multiplies the corresponding variable in a polynomial expression.
Circle a term, square a coefficient, diamond a constant, point to an operator
Work together in pairs: What is the degree of the polynomial 5x^3 + 7x - 2?
Work together in pairs: What is the degree of the polynomial 4x^5 + 2x^3 + 7?
Brain break: Draw a pizza with wings and a superhero mask
The oldest known polynomial equation dates back to Babylonian clay tablets from over 3,500 years ago. The expression “binomial coefficient” is a combination of two Latin words, “bi” which means two, and “nomen” which means name Every polynomial equation of degree n has at most n distinct roots or solutions
Did you know?
A polynomial can only be made up of terms with whole number exponents by addition, subtraction, or multiplication. All other operations are OUT!
What is a polynomial?
Create an example of a polynomial and a non-polynomial.
Which of these expressions is a polynomial?
- 3x^4y^2 + 5xy - x^(1/3)y^(4/5)
- x^2 + 2x-1
What is the degree of a polynomial?
- The constant term in a polynomial
- The highest power (exponent) on the variable in a polynomial
- The lowest power (exponent) on the variable in a polynomial
What does it mean for two polynomials to be equal?
- They have exactly identical terms with the same degree and coefficient
- They have different coefficients but same degrees
- They have different degrees but same coefficient