Question

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

f(x) = 2x^3 + 8x^2 + 7x - 8

Answer 1

Make sure the polynomial is written in standard form, highest exponent first etc.
A: List all the factors of the first coefficient.
B: List all the factors of the last coefficient (meaning the number at the end)

The possible rational roots of the polynomial must be in the form \(\huge \frac{\text{thing from list B}}{\text{thing from list A}}\)

Answer 2

this is what i got
\[\pm1,\pm2,\pm4,\pm8,\pm1/2\]

Answer 3

That seems to be everything =)

Answer 4

Which means if you want to check for rational roots, hey, you only got 10 things to check. Not too bad.

Answer 5

ok thank u again :p

Answer 6

My pleasure =)