Name Precalculus Mini Lesson #17 Date How Do We Create Polynomial Functions with Double Roots? A double root is a repeated solution for a polynomial equation; it's the result of a repeated factor. Do Now: How many real roots do the following functions have? How to Build a Polynomial Equation y = a(x-1)(x-12 )...(x-[) Steps Example: 1. List the given information Create the equation of a polynomial with zeros of x = -2 Find the coefficient "a" with the given (multiplicity of 2) , x = 1 and pass through the point (2, information using the factored form of the 32). polynomial 3. Replace all known variables in the factored or standard polynomial form 4. Graph to verify your answer Practice Questions Directions: Create the equation of a polynomial that has a double root a x = -4, a single root at x = 3 and has a intercept of -48