Single Zero & Simple Polynomials
Write a polynomial function P(x) in factored form that has zeros at x = -3 and x = 4.
Input your equation in the graph below to see your graph dynamically plotted with your target points from above.
How did you decide which factors to write in order to place the zeros at x = -3 and x = 4?
Zero Product Property (refresher from high school algebra)
How can you use the Zero Product Property to explain why your equation produces an x-intercept at those exact points?
Is your equation the only polynomial with these exact two zeros? How could you write a different polynomial that still crosses the axis at -3 and 4?