Question

What are the possible rational roots of f(x) = x4 173x3 16x2 7x 15, according to the rational root theorem? "" means "plus or minus"?

Answer 1

Answer:

Step-by-step explanation:

First we identify the "q" and the "p" in the function.

5x4 has the highest degree in the function, so q = 5

-15 has the lowest degree (its degree is 0) so p = 15

Next we have to find the factors of "q" and "p." Factors are numbers that you can multiply together to get the original number.

Factors of p = 15: +- 1, +-3, +-5, +-15

Factors of q = 5: +-1, +-5

Now according to the rational root theorem, possible rational roots of zero are +-p/q

Therefore, the possible rational roots of the function are: +-1, +-1/5, +-3, +-3/5, +-5, and +-15

Hope it helps you....