We are given with the polynomial function f(x) = 3x3 + 8x2 − 87x + 28 and is asked for the roots of the equation. The function given is a third order polynomial because the highest degree among the polynomials is 3.
In this case, to find the roots of the equation, we equate the function to zero, and then find the values of x.
Thus, the equation becomes 3x3 + 8x2 − 87x + 28 = 0. We can use an online polynomial finder to determine the roots of the equation. There are three roots of this equation since the order of this polynomial is 3 which are the following:
Root 1: -7
Root 2: 1/3
Root 3: 4
All factors are real numbers, not imaginary.