If f(x)=3^x+10 and g(x)=4x-2, (f-g)(x)

Factor p 2 + 18p + 32. (p+ 4)(p + 8) (p + 2)p+ 16) (p + 16)2

Answer this question, only if you know the answer. 30 points and brainliest!

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?