Precalculus Examples

Find the discriminant for . In this case, .
Tap for more steps...
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.
Tap for more steps...
Simplify each term.
Tap for more steps...
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 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
Enter YOUR Problem
Mathway requires javascript and a modern browser.