GCF/Diff of Squares
Factor the following difference of squares
n2 - 225
What is (n + 15)(n - 15)
To factor the trinomial x2+8x+16 you find two numbers that add to 8 but multiply to this...
What is 16.
2x2 + 5x - 3
What is (2x - 1)(x + 3)
Solve:
2t2 + 10t = 0
What is t = 0 and t = -5
What is the domain of all of our quadratic equations?
All Real Numbers
Factor the following:
25n2 - 49
(5n + 7)(5n - 7)
Factor:
x2+13x+30
(x+10)(x+3)
Factor 12x2 - 13x + 3
(4x - 3 )(3x - 1)
Solve:
x2 + 8x + 7 = 0
What is x = -1 and x = -7
What do we call the imaginary vertical line through the vertex that splits the parabola in half?
Axis of Symmetry
Factor the following:
7y6 - 40y3
What is y3(7y3 - 40)
The factored form of x2+26x+120 is this...
What is (x+20)(x+6).
The result of factoring
2x^2+9x-18
of is this.
What is (2x-3)(x+6)
Solve:
k2 - 13k + 36 = 0
What is k = 9 and k = 4
What do we call the point at the center of the parabola?
Vertex
This is what you get when you factor
9x5 - 45x4 + 9
What is 9(x5 - 5x4 + 1).
The factored form of
x^2-10x-24
is this...
What is (x-12)(x+2)
The results of factoring
6x^2+7x-3
is this...
What is (3x-1)(2x+3)
Solve:
5x2 - 42x - 80 = 0
What is x = 10 and x = -8/5
What are the 2 other names that we use to describe the vertex?
maximum and minimum
This is the result of factoring
20x3z4 - 15x2z3 + 5x2z2
What is 5x2z2(4xz2-3z+1).
The factored form of
3x^2-27x+54
What is 3(x-6)(x-3)
The result of factoring completely
12x^2-10x+2
is this...
What is 2(2x-1)(3x-1)
Solve:
4x2 + 5x + 20 = 0
What is No Real Solution?
Where do we find the zeros/roots on the graph of a parabola? How many different numbers of solutions can there be?
x-axis/x-intercepts
0, 1, or 2 real solutions