Verified Answer :

Binomial Factors really just mean factors of a polynomial, in this case there are two so hence the binomial name. If you are unsure of how to solve a quadratic equation, the best thing is to first simple the coefficients and then move to the quadratic formula. Since all the factors are divisible by 2, you can divide 2 out of the entire expression, so now it will look like \(3s^2+20s-32\). Now that the coefficients are completely simplified, you can put the coefficients into the quadratic formula, \(\frac{-b+ \sqrt{b^2-4ac}}{2a} or \frac{-b- \sqrt{b^2-4ac}}{2a}\), where a is the coefficient with the \(x^2\), b with \(s\) and c the -32. When you plug in the values for a, b and c into the two equations, the two solutions you come up with are \(-8 and \frac{4}{3}\). If you put this back in factor form, it would look like \((3s-4)(s+8)\). Matching that with the choices you were given, D. \((3s-4)\) is the answer