Question

For the polynomial function, (a) list all possible rational zeros, (b) find all rational zeros, and (c) factor f(x).f(x)=x³ +9x² +23x+15(a) Determine the possible rational zeros for f(x). Choose the correct answer below.OA. ±1, +3, +5O C. 1, 3, 5, 15....OB. +1, +3, +5, +1OD.-1, -3, -5

Answer 1

First, we have to do synthetic division.

The possible rational zeros are: -1,1,-3,3,-5,5,-15,15, lets try first with -1.

Let's find the solutions for the quadratic function

The zeros of the function are x=-3 , x=-5 and x=-1

Finally the factored function is : f(x)=(x+3)(x+5)(x+1)