Finite Math Examples

f (x) = 2 x^{2} - 5 x

$f (x) = 2 x^{2} - 5 x$

Step 1

Find every combination of

\pm \frac{p}{q}

$\pm \frac{p}{q}$ .

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Step 1.1

If a polynomial function has integer coefficients, then every rational zero will have the form

\frac{p}{q}

$\frac{p}{q}$ where

p

$p$ is a factor of the constant and

q

$q$ is a factor of the leading coefficient.

p = \pm 0

$p = \pm 0$

q = \pm 1, \pm 2

$q = \pm 1, \pm 2$

Step 1.2

Find every combination of

\pm \frac{p}{q}

$\pm \frac{p}{q}$ . These are the possible roots of the polynomial function.

0

$0$

0

$0$

Step 2

Determine the upper and lower bounds.

No Upper Bounds

No Lower Bounds

Step 3