Factor the polynomial completely using the X method.

x2 + 11x + 24
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared + 11 x + 24.
The value of ac is
.

The value of b is
.

The equivalent factored form of the polynomial is
.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?