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+12x
3x(x+4)
100

(x - 3)(x + 5)

x2 + 2x - 15
100

A projectile's motion is modelled by the equation:

f(x) = -0.5(x + 2)(x - 6), where x is time.  

When will the projectile land on the ground?

At 6 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

(5x+1)2

25x2+10x+1

200

A projectile's motion is modelled by the equation: 

f(x) = -14.7(t - 0)(t - 8)

What are the direction of opening, stretch/compression, and x-intercepts?

down

stretched by 14.7

x-intercepts (0, 0) and (8, 0)

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

(6x - 3)2

36x- 36x + 9

300

A bridge shape is modelled by the equation: 

f(x) = x2 - 25, where x is measured in metres.

What is the total width of the bridge?

10 m

400
Factor 2y2-13y-7
(y-7)(2y+1)
400
Factor 7x2-36x+5
(7x-1)(x-5)
400

Factor 18x2+38x

2x(9x+19)

400

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

16x2 - 9

400

A thrown rock's motion is modelled by the equation: 

f(x) = -3x2 + 9x + 30, where x is seconds

When will the rock land on the ground?

At 5 seconds

500
Factor x2-13x-30
(x+2)(x-15)
500
Factor 2x2-12x+10
2(x-1)(x-5)
500
9x2-49
(3x-7)(3x+7)
500

(x - 1)(x + 1)

x2 - 1

500

NTCI team photos sell for $10 each, and the coaches find that they sell on average 30 photographs per team.  The coaches do a survey and find out that for each reduction in price of $0.50, an additional two photographs will be sold.  At what price will the revenue from the photographs be $150?

x = 15

Price is $2.50

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