Find the four real zeros of the polynomial. f(x) = x4 + 6x3 - 3x2 -52x - 60 a. 2, -2, -5, -3 b. -2, -2, -5, 3 c. -2, -2, 5, 3 d. 2, -2, -5, 3

The function is 



The "zeros" of a function, are the values of x, for which f(x)=0

According to the "Rational Root Theorem", the rational roots of f, are factors of 60.

That is, when trying to find the roots of a polynomial function, it is a very good idea to first check the factors of the constant term.

All numbers shown in the choices are factors of 60, so we will solve the problem by trial:



2 is not a root, so we eliminate choices A and D, 

Choices B and C are almost equal, with only 1 different number, so let's check whether 5 is a root or not:





but 





So the right choice is B