5.2.5 M II Vocab + Is the Trinomial Factorable?

Front

What condition must be met for quadratics to be factorable?

Back

b² - 4ac must be a perfect square.

Front

What type of roots does a perfect square have?

Back

Rational roots only.

Front

Is 196 a perfect square?

Back

Yes, the roots are +14 and -14.

Front

Is 169 a perfect square?

Back

Yes, the roots are +13 and -13.

Front

Can the expression x² + 4 be factored?

Back

No, because b² - 4ac = -16.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac.

Front

What does a positive discriminant indicate?

Back

Two distinct real roots.

Front

What does a zero discriminant indicate?

Back

One real root (a repeated root).

Front

What does a negative discriminant indicate?

Back

No real roots (the roots are complex).

Front

How do you determine if a trinomial is factorable?

Back

Check if the discriminant is a perfect square.