Simplify the expression below. 2x^3 - 12x^2 + 18x - 108 / x - 6
a) 4x^2 + 9x
b) 2x^2 + 18
c) 3x + 5
d) 3x + 2

Simplify 6sin θsec θ. choices a) 6 tan θ b) 6 cos θ c) 6 cot θ d) 6

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.

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?