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

please help

Answer 1

The possible rational zeros of that polynomial would take the form \[\huge \frac{p}q\]
where p is a factor of 8 and q is a factor of 2.

Answer 2

So what are the factors of 8?

Answer 3

1,2,4,8

Answer 4

mhmm... and the factors of 2?

Answer 5

1,2

Answer 6

That's right :)
So the possible rational zeros of this polynomial take the form
\[\pm\frac{p}q\]
Where p is one of those factors of 8 and q is one of those factors of 2

Have fun :)

Answer 7

so now what do i do ? do i have to do every single one to find a zero?

Answer 8

It just wants you to list them down, so do just that :)

Answer 9

oh ok :) thank you