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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 chapter

Degree 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?

  1. 1Use the wording this chapter gives for polynomial.
  2. 2The book says: A monomial or two or more monomials combined by addition or subtraction is a polynomial.
  3. 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.