Answer:
y = x^3 - 7x^2 - 36x - 168
Step-by-step explanation:
Hello!
If your zeros ae -6, -4 and 7, then your factors are (x+6), (x+4) and (x-7). To find the desired cubic function, multiply these three factors together:
y = f(x) = (x^2 + 4x + 6x + 24)(x - 7).
= (x^2 + 10x + 24)(x - 7)
= x^3 - 7x^2 + 10x - 70x + 24x - 168
y = x^3 - 7x^2 - 36x - 168 (answer)
Note how these terms are arranged in descending powers of x.
