Section 7.1. An Introduction to Polynomials. Terminology. A monomial is numeral, a variable, or the product of a numeral and one or more values. Monomials with no variables are called constants. A coefficient is the numerical factor in a monomial.
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An Introduction to Polynomials
Degree Name Example
n = 0 constant 3
n = 1linear 5x + 4
n = 2quadratic-x² + 11x – 5
n = 3cubic 4x³ - x² + 2x – 3
n = 4quartic9x⁴ + 3x³ + 4x² - x + 1
n = 5 quintic-2x⁵ + 3x⁴ - x³ + 3x² - 2x + 6
Polynomial Functions and Their Graphs
The leading coefficient is a .
The leading coefficient is the coefficient of the term of greatest degree in the polynomial.
Products and Factors of Polynomials
x – 2 x³ + 0x²+ x – 10 2 4 10
- (x³ - 2x²) 1 2 5 0
2x² + x
- (2x² - 4x) x² + 2x + 5 is the quotient
5x – 10
- (5x – 10)
Solving Polynomial Equations
Zeros of Polynomial Functions