Factoring Quadratics I
Factoring Quadratics II
Factoring Quadratics III
FOIL
Word Problems
100
Factor x2+8x+12
(x+6)(x+2)
100
Factor 2x2+7x+3
(2x+1)(x+3)
100

Factor 3x2+12

3(x2+4)


100

Expand: y = d(d+12)

y = d2+12d

100

The height of a rocket launched upward from a 160-foot cliff is modeled by y = -16x2 + 48x + 160, where y is the height in feet and x is the time in seconds.  When will the rocket land?

The rocket will land at 5 seconds

200
Factor m2-11m+18
(m-9)(m-2)
200
Factor 5n2+26n+5
(5n+1)(n+5)
200
Factor 4x2+10x
2x(2x+5)
200

Expand: y = (5x+1)2

y = 25x2+10x+1

300
Factor 2x2+10x-48
2(x+8)(x-3)
300
Factor 3x2-10x+7
(3x-7)(x-1)
300
Factor 4x2-9
(2x-3)(2x+3)
300

Expand: y = 9(2x-1)(2x-1)

y = 36x2-36x+9

300

Robert threw a rock off a bridge into the river. The distance from the rock to the river is modeled by the equation y = -16x2 +16x + 60, where y is the height in feet and x is the time in seconds. Find how long it took the rock to hit the surface of the water.

The rock will land after 5/2 (2.5) seconds

400
Factor 2y2-13y-7
(y-7)(2y+1)
400
Factor 7x2-36x+5
(7x-1)(x-5)
400
Factor 18x2+32x+6x
2x(9x+19)
400

Expand: y = (4x-3)(4x+3)

y = 16x2 - 9

500
Factor x2-13x-30
(x+2)(x-15)
500
Factor 2x2-12x+10
2(x-1)(x-5)
500

Factor: 9x2-49

(3x-7)(3x+7)

500

Expand: y = -(x + 1)(x - 1)

y = -x2 + 1

500

The Thunderbirds professional indoor soccer team has 90 season ticket holders. The management of the team wants to increase the current price of $40. A survey indicated that for every $2 decrease in price, the team will gain15 season ticket holders. What price would make the team $5070?

R=(40-2x)(90+15x)

7 price decreases  = $26 per season ticket holder

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