Quadratics Review

Factoring a=1

100

Factor x²+6x+8

(x+2)(x+4)

200

Factor x²-13x+40

(x-5)(x-8)

300

Factor x²+x-30

(x-5)(x+6)

400

Solve by Factoring

x²+14x+48=0

x=-6, x=-8

Factoring with a GCF

100

Factor -5x²+65x+150

-5(x-15)(x+2)

200

Factor -3x²+15x+108

-3(x+4)(x-9)

300

Factor 4x²-12x-160

4(x+5)(x-8)

400

Solve by factoring.

-8x²+65x+200=-3x²+50

x=15, x=-2

Factoring a>1

100

Factor 3x²+11x+6

(3x+2)(x+3)

200

Factor 2x²+19x+35

(2x+5)(x+7)

300

Factor 5x²+37x+14

(5x+2)(x+7)

400

Solve by factoring.

3x²+11x=-6

x=-3/2; x=-3

Quadratic Formula

100

Solve using the quadratic formula

3n²+17n+17=-2

 -17+-root2 61 div 6 

200

Solve using the quadratic formula

4y²-8y-10=-5

x=5/2 and x=-1/2

300

Solve using the quadratic formula

13t²-8t+1=-3t²

t=1/4

400

Solve using the quadratic formula.

4x²-4x+7=0

no real solution

Discriminant

100

Identify the discriminant and state how many solutions you would have.

-3x²+9x+4=0

129; 2 solutions

200

Identify the discriminant and state how many solutions you would have.

7x²-4x+5=0

-124; no real solutions

300

Identify the discriminant and state how many solutions you would have.

4x²-4x+7=0

-96; no real solutions

400

Identify the discriminant and state how many solutions you would have.

16x²-8x+1=0

0; 1 solution

Multiply Binomials

100

(2x+3)(x+7)

2x²+17x+21

200

(x-5)(x-12)

x²-17x+60

300

(3x-5)(x+6)

3x²+13x-30

400

(2x+y)(3x+6)

6x²+12x+3xy+6y