The following are equivalent statements about a real number b and a polynomial
Polynomials and Linear Factors
What are the zeros of
Know | Need | Plan |
---|---|---|
Polynomial function |
|
|
Does knowing the zeros of a function give you enough information to sketch it?
No; several different cubic functions could pass through
Step 1 Use the Zero-Product Property to find the zeros.
so
Step 2 Find points for x-values between the zeros.
Evaluate
Step 3 Determine the end behavior.
The function
The Factor Theorem describes the relationship between the linear factors of a polynomial and the zeros of a polynomial.