Question

f(x) = -2x4 + 4x3 + 3x2 + 18

Answer 1

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

Answer 2

List all the factors of 18. What are they?

Answer 3

1, 2, 3, 6, 9 is that it??

Answer 4

18 is also a factor

Answer 5

Now list the factors of 2

Factors of 2: 1, 2

Answer 6

After this, divide all the factors of 18 by all the factors of 2

Answer 7

1, 2, 3, 6, 9,18
1/2, 1,3/2, 3, 9/2, 9

Answer 8

Good if you sort from least to greatest, you get

1/2, 1, 3/2, 2, 3, 9/2, 6, 9, 18

which is the same list you have (just rearranged)

Now negate each value above to get

-1/2, -1, -3/2, -2, -3, -9/2, -6, -9, -18

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So the list of all possible rational roots is

1/2, 1, 3/2, 2, 3, 9/2, 6, 9, 18
-1/2, -1, -3/2, -2, -3, -9/2, -6, -9, -18

Answer 9

omg thank you so much you are the best i finally get it now! THANK YOU!!!! :D

Answer 10

you're welcome