Question

What is a quartic function with only the two real zeros given?

x = -4 and x = -1

A. y = x^4 + 5x^3 + 5x^2 + 5x + 4

B. y = x^4 - 5x^3 - 5x^2 - 5x - 4

C. y = -x^4 + 5x^3 + 5x^2 + 5x + 4

D. y = x^4 + 5x^3 + 5x^2 + 5x - 5

Answer 1

If x=-4 and x = -1 are zeros to one or more of the given functions, then dividing them by both x+1 and x+4 should yield a remainder of zero.

I divided x+1 into each of the given functions (I used synthetic division), each yielded a remainder.
So x+1 did not divide into any of them

I suspect either a typo, or the question is flawed (or I made an error in my calculation)