Factoring Quadratics I
Factor x2+8x+12
Determine the x-intercepts
(x+6)(x+2)
x = -6, x = -2
Factor 3x2+12x
Determine the x-intercepts
3x(x+4)
x = 0, x = -4
(x - 3)(x + 5)
Determine the y-intercept
x2 + 2x - 15
y = -15
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
Factor 2x2+10x-48
Determine the x-intercepts
2(x+8)(x-3)
x = -8, x = 3
Factor 4x2 - 9
Determine the x-intercepts
(2x-3)(2x+3)
x = 3/2, x = -3/2
(6x - 3)2
Determine the y-intercept
36x2 - 36x + 9
y = 9
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
Factor 2x2-13x-7
Determine the x-intercepts
(x - 7)(2x+1)
x = 7, x = -1/2
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)