Question

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
Can you guys also help me solve this? I never understood this!

Answer 1

A rational zero of a function f(x) is a zero which is rational.
By definition, a rational number is one which can be expressed as m/n, for m and n integers and for n non-zero
Can u help me?

Answer 2

this is how you responded earlier. Thanks for doing some research on this. We have to apply the term "rational number" to this question about "rational zeros."

Look at the given polynomial. You'll see that the very first coefficient is -2, and the very last one is 18.

Start by writing out all possible factors of each -2 and 18.

Answer 3

Could you do that now?

Once you have all the factors of each -2 and 18, we'll form "rational zeros" from them.

Answer 4

The possible factors of -2 are +1, -1, 2 and -2.
What are the possible factors of 18?