Please generate answers to questions #7 and #13 in picture.

2. Using Descartes' Rule of Signs, we can tell that the polynomial P(x) = x' - 3x* + 2x3 - x2 + 8x - 8 has 13. P(x) = 2x* - 9x3 + 9x2 + x - 3 , or positive real zeros and negative real zeros. 3. True or False? If c is a real zero of the polynomial P, then all the other zeros of P are zeros of P(x)/ (x - c). 4. True or False? If a is an upper bound for the real zeros of the 01 polynomial P, then - a is necessarily a lower bound for the real zeros of P. SKILLS 5-10 = Possible Rational Zeros List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see 14. P(x) = 4x4 - x3 - 4x + 1 which actually are zeros). 5. P(x) = x 4x + 3 6. Q(x) = 7. R(x) = 2x5 + 3.3 - 8 8. S(x) - 6x x + 2x + 12 9. 7(x) = 4x4- I 10. U(x) = 12x5+ 6x3 2x - 8 11-14 = Possible Rational Zeros A polynomial function P and its graph are given. (a) List all possible rational zeros of P given by the Rational Zeros Theorem. (b) From the graph, determine 15-28 - Integer Zeros All the real zeros of the given polyno- which of the possible rational zeros actually turn out to be zeros. mial are integers. Find the zeros, and write the polynomial in fac- 11. P(x) = 5x3 - x2 - 5x + 1 tored form. -15. P(x) = x3 + 2x2 - 13x + 10 16. P(x) = x3 - 4x - 19x - 14 17. P(x) = x + 3x - 4 18. P(x) = x- 3x - 2 19. P(x) = X3 - 68 + 12x - 8