Question 2 Find all zeros of the function f(x)=8x^3-14x^2-115x-75 Enter the zeros separated by commas. square

To find the zeros of the function , we need to solve the equation .Step 1: Set the function equal to zero: Step 2: Use the Rational Root Theorem to find possible rational zeros. The Rational Root Theorem states that any rational zero of a polynomial function will have a numerator that is a factor of the constant term and a denominator that is a factor of the leading coefficient.In this case, the constant term is -75 and the leading coefficient is 8. The factors of -75 are and the factors of 8 are . Therefore, the possible rational zeros are .Step 3: Test the possible rational zeros by substituting them into the equation .After testing, we find that the zeros of the function are .Therefore, the zeros of the function are .