given that -4 is a zero of the function f(x)=x3+3x2-16x-48f(x)=x3+3x2-16x48, find the other zeros and write f(x)f(x) in factored form

Answer:f(x) = (x + 4)(x - 4)(x + 3)The other zeros of the function are at 4 and -3.Step-by-step explanation:Given function is f(x) = x³ + 3x² - 16x - 48. Now, given that - 4 is a zero of the given function. So, the function has a factor equals to (x + 4).  Now, f(x) = x³ + 3x² - 16x - 48 ⇒ f(x) = x³ + 4x² - x² - 4x - 12x - 48 ⇒ f(x) = x²(x + 4) - x(x + 4) - 12(x + 4) ⇒ f(x) = (x + 4)(x² - x - 12) ⇒ f(x) = (x + 4)(x - 4)(x + 3) Therefore, the other zeros of the function are at 4 and -3. (Answer)