Question

For the function f(x)=3x^4-4x^3+x^2+6x-2 a.state the number of zeros the polynomia function will have

b. use the rational zero theorem to list all of the possible rational zeros 

c. use your calculator to determine which number in the list of rational zeros are probable rational zeros  d.use synthetic division to verify one rational zero  e.use synthetic division or other algebraic methods to find all remainin zeros. list all of the zeros of the polynomial function.