Distribution (Box Method)
(x+5)(x-7)
x2-2x-35
Solve the following equation for x:
x + 6 = 10
x=4
Factor the following quadratics completely:
x2-3x-10=0
(x+2)(x-5)
Solve the following quadratic using the quadratic formula:
2x2-9x-5=0
x = 5, x = -1/2
Quadratic equations take the shape of a what when graphed.
Parabola
(x-2)(x-5)
x2-7x+10
Solve the following equation for x:
2x + 7 = -8
x=-7.5
x=-15/2
Factor the following quadratics completely:
x2-9x=-14
(x-7)(x-2)
Solve the following quadratic using the quadratic formula:
3x2-4x-1=0
x=(2+-sqrt2)/3
How many solutions does this graph have? (Draw on the board)
0 solutions
(x+9)2
x2+18x+81
Solve the following equation for x:
2-5(7x-6)=242
x=-6
Factor the following quadratics completely:
x2+7x-8
(x+8)(x-1)
Solve the following quadratic using the quadratic formula:
6x2-7x+6=0
No real solution
y = ax2 + bx + c
(2x-1)2
4x2-4x+1
Solve the following equation for x:
-7+2x=-2(x+1)+3
x=2
Factor the following quadratics completely:
2x2+3x-20
(2x-5)(x+4)
Solve the following quadratic using the quadratic formula:
2x2-15=0
x=+-(sqrt30)/2
Looking at the standard form of a quadratic equation, which value represents the y-intercept?
y = ax2 + bx + c, c represents the y-intercept
(3x+5)(6x-1)
18x2+27x-5
Solve the following equation for x:
3x2+2=14
x=2
Factor the following quadratics completely:
5x2-9x+4
(5x-4)(x-1)
Solve the following quadratic using the quadratic formula:
4x2-18=10x
x=(5+-sqrt97)/2
Looking at this parabola (draw it), what can you conclude about the value of a?
a is negative