for the function 3x⁴- 4x³+ x²+ 6x - 2

a. State the degree of the polynomial

b. State the number of zeros the polynomial function will have.

c. Use the Rational Zero Theorem to list all of the possible rational zeros.

d. Use your calculator to determine which numbers in the list of rational zeros are probable rational zeros.

e. Use synthetic division to verify one rational zero.

f. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros of the polynomial function.

***Please show all work*******