Use the Rational Roots Test to Find All Possible Roots

$x^{2} - 5 x + 6$

Step 1

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and $q$ is a factor of the leading coefficient.

$p = \pm 1, \pm 2, \pm 3, \pm 6$

$q = \pm 1$

Step 2

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

$\pm 1, \pm 2, \pm 3, \pm 6$

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Simplifying Polynomials

More step-by-step Algebra examples from this chapter.

Simplifying Multiplication Polynomial Addition Polynomial Subtraction Polynomial Multiplication Polynomial Division Evaluate the Expression Using the Given Values Determining if the Expression is a Polynomial Multiplying Polynomials Using FOIL Operations on Polynomials Simplifying Expressions Negative Exponents

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$