1. How would you express the zeros of the equation x2 - 2 = 0 ? Are the two zeros of this equation integers, rational numbers, or irrational numbers?
2. Note the cubic equation x3 - 6x2 + 11x - 6 = 0. I will claim that x = 1 constitutes a root of that equation ( replace x by 1 in the equation to verify ). Thus, the binomial (x - 1) will divide our cubic equation evenly, without remainder. Perform the division to obtain the quotient, which is a quadratic equation. Completely factor the resulting quadratic equation to obtain the remaining two roots of our cubic equation.