**** Please answer #23 ****

2 +bx +(x-r)(x -s).) number. Prove that if a real number e satisfies a polynomial equation of the form H 16. The quotien t of any two rational numbers is a rational 31. number. H 17. The difference of any two rational numbers is a rational number. H 18. If r and s are any two rational numbers, then r2- where ro, r1, r2, and r3 are rational numbers, then c satisfies an equation of the form rational. a+b H 19. For all real numbers a and b, if a b then a b (You may use the properties of inequalities in T17-T27 of where no, ni, n2, and n are integers. Appendix A.) 20. Given any two rational numbers r and s with r