Assignment:
Q1. P(x)= 2x^4 + 15x^3 + 17x^2 + 3x -1
Find all real zeros.
Q2. P(x)= 8x^3 + 10x^2 - 39x + 9; a=-3,b=2
Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomial.
Q3. P(x)= x^3 - 3x^2 + 4
Find integers that are upper and lower bounds for the real zeros of the polynomial.
Q4. P(x)= 3x^3 - x^2 - 6x + 12
Show that the polynomial does not have any rational zeros.
Provide complete and step by step solution for the question and show calculations and use formulas.