Evaluate
x^{2}-\frac{5x}{2}+9
Factor
\frac{2x^{2}-5x+18}{2}
Graph
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x^{2}-3x-\left(-\frac{1}{2}x\right)+9
Reduce the fraction \frac{3}{-6} to lowest terms by extracting and canceling out 3.
x^{2}-3x+\frac{1}{2}x+9
The opposite of -\frac{1}{2}x is \frac{1}{2}x.
x^{2}-\frac{5}{2}x+9
Combine -3x and \frac{1}{2}x to get -\frac{5}{2}x.
\frac{2x^{2}-6x+x+18}{2}
Factor out \frac{1}{2}. Polynomial 2x^{2}-5x+18 is not factored since it does not have any rational roots.
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Limits
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