Question

Write a possible equation for a polynomial whose graph has horizontal intercepts at

x = 2 - 1/2, -3

Answer 1

To write an equation for a polynomial with horizontal intercepts at x = 2 - 1/2 and x = -3, we can use the fact that the intercepts occur when the polynomial equals zero. By substituting the intercepts into the equation, we can determine the polynomial equation. In this case, the equation is P(x) = (x - 1.5)(x + 3).

Step-by-step explanation:

To write a possible equation for a polynomial with horizontal intercepts at x = 2 - 1/2 and x = -3, we use the fact that the horizontal intercepts occur when the polynomial equals zero. Let's call the polynomial P(x). So, we know that P(2 - 1/2) = 0 and P(-3) = 0. We can then write the equation as follows: P(x) = (x - (2 - 1/2))(x - (-3)) = (x - 1.5)(x + 3)