For function g(x) = x^4-2x^3-x^2+2x
a) Find this polynomial by degree. Write the results of Leading Coefficient Test
b) Does g definitely have at least 1 real zero? Write number of real zeros and number of local extrema which g has based on its degree
c) Illustrate that 1 is a zero of g
d) Completely factor g and determine all real zeros of g. Illustrate your work.
e) Give a graph of g, showing zeros you found above. Use calculator to determine any local extrema; illustrate them on your graph.