Consider the quadratic equation ax^2 + bx + c = 0, where a, b, and c are rational numbers and the quadratic has two distinct zeros. If one zero is rational, which of the following is true of the other zero.
A. The other zero is irrational.
B. The other zero could be rational or irrational.
C. The other zero is not a real number.
D. The other zero is rational.
B. The other zero could be rational or irrational.
what about D
D. The other zero is rational.
Since the quadratic equation has rational coefficients and one of the zeros is rational, the other zero must also be rational. The sum and product of rational numbers are also rational, so the sum and product of the zeros of the quadratic will be rational. Therefore, the other zero must be rational.