Lesson 608 of 1524
Polynomials and Polynomial Functions
Degree of a Polynomial The degree of a term is the sum of the exponents of its variables
Practice this chapterDegree of a Polynomial The degree of a term is the sum of the exponents of its variables A monomial in one variable is a term of the form a x m , where a is a constant and m is a whole number
Polynomials Polynomial —A monomial, or two or more algebraic terms combined by addition or subtraction is a polynomial Monomial —A polynomial with exactly one term is called a monomial
polynomial — A monomial or two or more monomials combined by addition or subtraction is a polynomial. polynomial function — A polynomial function is a function whose range values are defined by a polynomial. monomial — A monomial is an algebraic expression with one term. A monomial in one variable is a term of the form a x m , where a is a constant and m is a whole number. monomial in one variable — a term of the form a x m , where a is a constant and m is a whole number.
Be able to factor Theorem: For any polynomial function f ( x ) , if x - c is a factor of f ( x ) , then f ( c ) = 0.
Worked example
What does “polynomial” mean in Polynomials and Polynomial Functions?
- 1Use the wording this chapter gives for polynomial.
- 2The book says: A monomial or two or more monomials combined by addition or subtraction is a polynomial.
- 3Do not use the meaning of polynomial function. That term means A polynomial function is a function whose range values are defined by a polynomial.
Result: A monomial or two or more monomials combined by addition or subtraction is a polynomial
Why. That is the meaning this chapter gives for polynomial.
Do not swap polynomial and polynomial function. polynomial means A monomial or two or more monomials combined by addition or subtraction is a polynomial. polynomial function means A polynomial function is a function whose range values are defined by a polynomial.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.