# 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.

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

is a perfect square number

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

Not prime