Given that f(x) = 2x, g(x) = x – 5 and h(x) = 2f(x) = g(x + 2), then
what is the value of h(2)?

If f(x)=2x^6+x^2+2 then what is the remainder when f(x)is divided by x+2

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?

Factor the polynomial. b^2 + 4b + 4