Expand Binomials
Different Forms
Factor Trinomials
X-Intercepts
Solving Problems
100
Expand this binomial.
x(x+1)
x2+x
100
Which form is this equation in?
y = 3(x-5)2 -6
Vertex Form
100
Factor the following
2x2 +8x
2x(x+4)
100
State the x-intercepts for the following equation
(x+2)(x-5)
x=-2 and x=5
100
Determine the y-intercept for the following equations
y=-3(x-2)(x+3)
Set x=0
y=-3(0-2)(0+3)
y=-3(-2)(3)
y=18
(0,18)
200
Expand and Simplify
(x+3)(x+2)
x2 + 5x + 6
200
Which form is this equation in?
y = -3x2 +5x -6
Factored Form
200
Factor the following
x2 -25
(x+5)(x-5)
200
State the x-intercepts for the following
-5x(x-13)
x=0 and x=13
200
Determine whether this relation has a max or min and what its coordinate is.
4(x-5)(x-9)
It is positive so it opens upward and has a min.
x-intercepts are x=5 x=9
(5+9)/2 = 14/2 =7
The x-coordinate of the min is 7.
300
Expand and Simplify
(x-3)2
x2 - 6x + 9
300
Change From factored to standard form
y= (x+3)(x+2)
y = x2 +5x +6
300
Factor the following
x2 +10x +16
(x+8)(x+2)
300
How many zeros does this relation have? Explain
x2 + 3x + 20
Zero.
Since it cannot be factored we know that it does not touch the x-intercept
300
Given the relation in vertex form. y=4(x-3)2 +9
what is the value of a in the factored form?
4
The a value stays the same throughout the forms.
400
Write a simplified expression for the perimeter of this figure.
P= 6x +10
400
Change from vertex to standard form.
y = -2(x+2)2 + 4
y = -2x2 -8x -4
400
Factor the following
x2 -10x + 21
(x-7)(x-3)
400
What is the maximum height for the following relation.
y = (x-4)(x+6)
-4 +6/2 = 1
(-4+6)/2 = 2/2 =1
y = (1-4)(1+6)
=(-3)(7)
=-21
400
396 = (16 + 2x)(12+2x)
500
Calculate the area of the figure below.
A= lw
=(2x+5)(x)
=2x2 +5x
500
Change from vertex to factored form
y = (x+3)2 -4
(x+1)(x+5)
500
Factor the following
9x2 - 9x - 180
9(x2 - x - 20)
=9(x-5)(x+4)
500
The path of a thrown ball can be modelled by the equation below. How far after is was thrown will it land in seconds?
y = x2 - 3x - 18
y = (x-6)(x+3)
x-intercepts are x=6 and x=-3
The ball will be reach the ground after 6 seconds.
500
Write an equation for a graph that has zeros x=0 and x=6 and passes through the point (4,8)
y=-(x)(x-12)