Vertex Revolutions
Square Up
Solving for Zeros
The F Word
(and yes I mean factoring)
(and yes I mean factoring)
Distributing Factors
200
The equation that shows
y = x2 + 12x + 32 in the form y = (x - h)2 + k.
y = (x + 6)2 - 76 or y = (x + 6)2 - 4
What is y = (x + 6)2 - 4
200
The diagram that represents how to complete the square of x2 + 6x using algebra tiles.
200
The zeros of the function
y = x2 - x - 12.
What are (-4,0) and (3,0)?
200
A polynomial that can NOT be factored:
x2 - 9 or x2 + 9
What is x2 + 9?
200
This is the greatest common factor of
16x2 + 8x.
What is 8x?
300
This point is the vertex in the graph of
y = x2 - 7.
(0,7), (-7,0) or (0,-7)
What is (0,-7)?
300
The result when you complete the square for x2 + 8x.
What is (x+4)2?
300
The function
y = 3x2 - 12x
has zeros at these points.
What is (0,0) and (4,0)?
300
The area of a square is
x2 + 12x + 36.
This is it's perimeter.
What is 4x + 24?
300
This polynomial has a greatest common factor of 3x.
(3x - 3) or (9x3 + 3x)
What is 9x3 + 3x?
400
The following shows the vertex and axis of symmetry for the graph of
y = (x + 7)2 - 9.
(7,-9); x = 7, (-7,-9); x = -7 or
(-7,9); x = -7
(-7,-9); x = -7
400
****DAILY DOUBLE****
This sum is equal to 3x2 + 6x - 12.
(2x2 - 4x + 1) + (x2 - 2x + 11) or
(2x2 + 4x - 1) + (x2 + 2x - 11)
What is (2x2 + 4x - 1) + (x2 + 2x - 11)?
400
The solutions to the function x2 + 4x = 32.
What are (-8,0) and (4,0)?
400
The two factors of the polynomial
What are (3x + 4)(x - 2)?
400
The factors of
x(4x - 5) + 3(4x - 5).
What are (4x - 5)(x + 3)?
500
The vertex form of the function
y = x2 - 8x - 9.
What is (4,-25)?
500
The value which makes a perfect-square trinomial when added to the binomial
x2 - 7x.
What is
(\frac{7}{2})^2
500
The two solutions to the equation
0 = x2 + 14x +40.
What are -10 and -4?
500
The following is an example of this type of factoring:
4x2 + 12x + 5x + 15 =
(4x2 + 12x) + (5x + 15)
What is grouping?
500
The binomial factor in the following polynomial:
3w(w - 2) - 5(w - 2)
What is (w - 2)?