Identify zeros and graph polynomials

What you'll learn

1. Read the zeros of a polynomial directly from its factored form by applying the zero-product property
2. Determine the multiplicity of each zero and explain how multiplicity affects the graph's behavior at that x-intercept (crossing vs. touching)
3. Describe end behavior of a polynomial function using the leading term (degree and sign of leading coefficient)
4. Sketch a rough but structurally accurate graph of a polynomial function using zeros, multiplicities, y-intercept, and end behavior
5. Interpret zeros in context — explain what a zero represents in a real-world modeling situation

Prerequisites

• Apply the Remainder Theorem