1. P(x)= 2x^4 + 15x^3 + 17x^2 + 3x -1
Find all real zeros.
2. 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.
3. P(x)= x^3 - 3x^2 + 4
Find integers that are upper and lower bounds for the real zeros of the polynomial.
4. P(x)= 3x^3 - x^2 - 6x + 12
Show that the polynomial does not have any rational zeros.
See attached file for full problem description.
Real zeros of polynomials are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.