Find a cubic function with the given zeros - 6, 7, - 4

(x - (-6)) (x-7) (x - (-4))

(x+6) (x-7) (x+4)

x^3 + 3 x^2 - 46 x - 168

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.