Precalculus Examples

Find the discriminant for . In this case, .
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The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
Substitute in the values of , , and .
Evaluate the result to find the discriminant.
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Simplify each term.
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Raise to the power of to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
A perfect square number is an integer that is the square of another integer. , which is an integer number.
Since is the square of , it is a perfect square number.
is a perfect square number
The polynomial is not prime because the discriminant is a perfect square number.
Not prime
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