Solving Quadratics and Trinomials

• Factoring

• Square Root

• Completing the Square

• Factoring

• Square Root

• Completing the Square

The discriminant of an equation, b2 - 4ac, equals 46. What does that mean about the solution(s)?

• There is 1 rational solution.

• There are 2 rational solutions.

• There are 2 irrational solutions.

• There are no real solutions.

The discriminant of an equation, b² - 4ac, equals -20. What does that mean about the solution(s)?

• There is 1 rational solution.

• There are 2 rational solutions.

• There are 2 irrational solutions.

• There are no real solutions.

The discriminant of an equation, b² - 4ac, equals 256. What does that mean about the solution(s)?

• There is 1 rational solution.

• There are 2 rational solutions.

• There are 2 irrational solutions.

• There are no real solutions.

Perfect Square Trinomials have _______.

• a vertex at the origin

• only positive solutions

• only negative solutions

• exactly one solution

Is this a perfect square trinomial?
x² + 16x + 64

• Yes

• No

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

Which of the following is a perfect square trinomial?

• x² – 4x – 4 

• x² – 6x – 9 

• x² + 6x – 9 

• x² – 4x + 4