Solving Quadratics

Factoring By Grouping

100

You know you have to factor the following equation by grouping. What is your first step? 

6x²+14x+4

What is multiply the a term by the c term or multiplying 4 by 6.

Or 

What is take out the GCF of 2

200

For what value of "a" should you NOT factor by grouping?

What is a = 1

300

What is 3x²-7x+2 factored?

What is (3x-1)(x-2)

400

What are the zeros of this equation? 2x²+x-10

What is (-5/2,0) (2,0)

500

6x⁴-12x²+2x²-4

6x²(x²-2) + 2(x²-2)

(6x²+2) (x²-2)

Is this completely factored? If not completely factor it.

What is no, completely factored it is 

(6x²+2)(x-sqrt[2])(x+sqrt[2])

Factoring By GCF

100

What is the GCF of 3x² + 9x³ ?

What is 3x²

200

What are/is the zero(s) of -144 + 12x² - 12x ?

What is (4,0) and (-3,0)

300

What is 30x - 6x² +36 in factored form?

What is -6(x-6) (x+1)

400

Factor 8x² + 48x + 72 ?

What is 8(x+3)²

500

What is 42xyz + 12x²y²z² + 36 factored?

What is 6(2xyz + 3)(xyz+2)

Completing The Square (CTS)

100

What is the formula to find the blank C term of the equation below?

(x²+4x__)-2

(4/2)²

200

What is the vertex form of the following equation?

x²+6x-13

What is (x+3)²-22

300

What are the zeros for the equation x²-6x ?

What is (0,0) (6,0)

400

What are the zeros for x²-x-3 ?

What is (1/2+sqrt[13]/2, 0) (1/2-sqrt[13]/2, 0)

500

What are the zeros for  (x²+10x+61) ?

What is (-5+6i, 0) (-5-6i, 0)

Solving Using Various Methods

100

What are the first three steps to solve (x+4)²-6=0 ?

What is 1. add six to both sides 2.take the square root of both sides and 3. substract by 4 on both sides

200

What are/is the zero(s) of 2x²+16x+32=0 ?

What is (-4,0)

300

What is/are the solution(s) for x for the following equation 3x²+6x+2x+4 ?

What is (-2/3,0) (-2,0)

400

What are the solutions to x²+20x+7?

What is (-10+sqrt[93], 0) (-10-sqrt[93], 0)

500

What are the solutions to (x-6)²+50=0 ?

What is (6+5i sqrt[2],0) (6-5i sqrt[2],0)

Quadratic Formula (QF)

100

What are the a,b, and c terms of the following equation? 4x²+7x-9

What is a = 4, b = 7 and c = -9.

200

What is a discriminant?

What is the number under the square root in the quadratic formula or b²-4ac

300

What are the x-intercepts of the equation 8x²+5x-2? 

What is 

x = -5/16 + sqrt[89]/16 

and 

x= -5/16 - sqrt[89]/16

400

What are the x-intercepts of 3x²+4x-8?

What is 

x = -2/3 + 4sqrt[7]/6 

and 

x = -2/3 - 4sqrt[7]/6

500

What are the x-intercepts for the equation 

7x²-6x+3?

What is 

x = 3/7 + 4isqrt[3]/14

and

x = 3/7 + 4isqrt[3]/14