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Unformatted text preview: e easy to factor. x 2 - 3 x - 10 < 0
Step 2 : If possible, factor the polynomial. Note that it won’t always be possible to factor this,
but that won’t change things. This step is really here to simplify the process more than anything.
Almost all of the problems that we’re going to look at will be factorable. ( x - 5) ( x + 2) < 0
Step 3 : Determine where the polynomial is zero. Notice that these points won’t make the
inequality true (in this case) because 0 < 0 is NOT a true inequality. That isn’t a problem.
These points are going to allow us to find the actual solution.
In our case the polynomial will be zero at x = -2 and x = 5 .
Now, before moving on to the next step let’s address why we want these points.
We haven’t discussed graphing polynomials yet, however, the graphs of polynomials are nice
smooth functions that have no breaks in them. This means that as we are moving across the
number line (in any direction) if the value of the polynomial changes sign (say from positive...
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- Spring '12