For the polynomial function f(x) = x -25x2, find the zeras. Then determine the multiplicity at each zero and state O
x = 0, Cross, X-s, cross, X-5, Cross
x = 0, cross; *u-5, boss, X - 5, touch
x = 0, touch; x = -5, cross; x = 5, cross
X-0, cross: = -5, touch; x = 5, touch
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Write the expression in simplified radical form. show all steps and work including any foil method work. (hint: use the conjugate. no decimal answers.) (9-2√3)/(12+√3)

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?