The partially completed table below shows the height categories of third-grade students at an elementary school

Using the quadratic formula find the zeros of the given polynomial -5x^2+3x-11

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Use sigma notation to represent the following series for 9 terms.