Question

Use sign charts to solve. determine the x - values that cause the polynomial to be a) zero, b) positive, c) negative x-1/(x-2)(x+4) > 0

Answer 1

First, you should clarify your problem statement. You have written: \(x - \dfrac{1}{(x-2)(x+4)}\). Is this your intent?

Answer 2

x-1

Answer 3

Okay, now you have written "x-1". Take a close look at whet I wrote. See that 'x' out in front? Please restate your problem and USE PARENTHESES to clarify intent. For example, if you mean \(\dfrac{x-1}{(x-2)(x+4)}\). then you should write that.

Answer 4

-----------(-4)-------------(1)----------(2)----------------

There's your important points on a number line. Let's see the sign chart.

Answer 5

By sign charts the intent is to use <------(-)(+)-----> and so on

Answer 6

x < -4, all three are negative

x > 2, all three are positive

Fill in the middle.