Question

11. A cubic function with a double root at -4 and a root at 2 contains the point (0, 96)

Write the function in factored form.

Answer 1

The cubic function with a double root at -4 and a root at 2 can be written as f(x) = a(x + 4)(x + 4)(x - 2), where a is 3.

Step-by-step explanation:

The cubic function with a double root at -4 and a root at 2 can be written in factored form as f(x) = a(x + 4)(x + 4)(x - 2). To find the value of a, we can use the point (0, 96) on the graph. Plugging in the x-coordinate, we have 96 = a(0 + 4)(0 + 4)(0 - 2). Solving for a, we get a = 3.

Learn more about factored form of cubic function with double root