# Precalculus Examples

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.

Simplify each term.

Raising to any positive power yields .

Multiply by .

Multiply by .

Add and .

A perfect square number is an integer that is the square of another integer. , which is not an integer number.

Since can't be the square of another integer, it is not a perfect square number.

The polynomial is prime because the discriminant is not a perfect square number.

Prime