Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain. Yes. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is zero. Therefore, x − 8 is a factor of f(x) = −2x3 + 17x2 − 64. No. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is zero. Therefore, x − 8 is not a factor of f(x) = −2x3 + 17x2 − 64. Yes. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is not zero. Therefore, x − 8 is a factor of f(x) = −2x3 + 17x2 − 64. No. When the function f(x) = −2x3 + 17x2 − 64 is divided by x − 8, the remainder is not zero. Therefore, x − 8 is not a factor of f(x) = −2x3 + 17x2 − 64.

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?

Show your workcan a right triangle have this sides? *how to prove it without using the pythagorean theorema*

If you have 12 feet of string and you cut it into equal length of 5 inches each how much string will be left