Solving Quadratics Trinomial Factoring

What characteristic(s) is(are) an indicator that the completing the square method works best?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

In the equation above, Greg added 8x to both sides. Then he factored out the GCF.  What does the equation look like now?

• NONE OF THESE

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.

What characteristic(s) is(are) an indicator that the square root method works best?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

Perfect Square Trinomials have _______.

• a vertex at the origin

• only positive solutions

• only negative solutions

• exactly one solution

x² + 4x - 32 = 0

• x= -8, 4

• x= 8, -4

• x= -8, -4

• x = -2, 16

Solve by Factoring Completely: 3x² + 18x +15 = 0 Hint: Factor GCF first.

• x=5 x=-1

• x=3 x = 1

• x= -5 x= - 1

• x= -5 x = 1

Solve by factoring: x² = 9x - 20

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5