Chapter 5 Review (FOIL and Factoring)

Factoring Quadratics I

100

Factor: 

y = x² + 8x + 12

Determine the x-intercepts

(x+6)(x+2)

x = -6, x = -2

200

Factor: 

y = 2x² + 10x - 48

y = 2(x+8)(x-3)

300

Factor: 

y = 2x² - 13x - 7

y = (x - 7)(2x+1)

Factoring Quadratics III

100

Factor: y = 3x²+12x

y = 3x(x+4)

200

Factor: y = 4x² - 9

y = (2x-3)(2x+3)

300

Factor: y = 16x² - 4

y = 4(2x + 1)(2x - 1)

FOIL

100

Convert to Standard Form to determine the y-intercept:

y = (x - 3)(x + 5)

x² + 2x - 15

y = -15

200

Convert to Standard Form to determine the y-intercept:

y = -2(2x + 5)(x - 1)

y = -4x² -6x + 10

(0, 10)

300

Convert to Standard Form to determine the y-intercept:

y = (6x - 3)²

36x² - 36x + 9

y = 9

Word Problems

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

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

300

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

f(x) = -3x² + 9x + 30

What are the x-intercepts, vertex, and y-intercept?

x =-2 , x =5 

y = 30 (0, 30)

vertex (1.5, 36.75)