Use Descartes' Rule of Signs to determine the number of possible combinations of positive and negativereal zeros off(x) = 4x + 7x* + 102x+174x+ 50x-25Also,

Use Descartes' Rule of Signs to determine the number of possible combinations of positive and negativereal zeros off(x) = 4x³ + 7x* + 102x³+174x²+ 50x-25Also, use the Rational Root Theorem, the Remainder Theorem, and synthetic division to determine all roots and factors(linear and quadratic) of the polynomial. Answer the following questions in your analysis:(a-d one point each)a. Degree = b. # of zeros: c. Max. # of turns: