Factor
What is ALWAYS the first step in factoring?
Factor Common Terms (Coefficients/Variables)
Factor Completely:
3x2 + 30x + 75
3(x + 5)2
Factor using Complete the Square:
x2 - 10x + 21
(x - 5)2 - 4
Write the Quadratic Formula.
x = [-b +- sqrt(b2 - 4ac)] / [2a]
What does Mr. G say to start class every day?
Hi Y'all
Factor Completely:
28x4 + 16x3 - 80x2
4x2(7x - 10)(x + 2)
Factor Completely:
4x2 - 8x + 4
4(x - 1)2
Factor using Complete the Square:
-2x2 - 4x + 70
-2(x+ 1)2 + 72
What form do we need the quadratic in to use the quadratic formula?
Standard Form
Where did Mr. V graduate high school?
Whitney Young High School
Factor Completely:
9x2 + 66x + 21
3(3x + 1)(x + 7)
Factor Completely:
2x2 - 18
2(x+3)(x-3)
Find the roots:
7x2 − 14x − 56 = 0
x = -2, 4
Find the Roots using the Quadratic Formula:
3x2 + 8x - 9 = 0
[ -4 +- sqrt(43) ] / 3
What color and brand are Mr. G's Spongebob squeaky boots?
Black / Dr. Martens
Name at least 3 values of b for which the expression is factorable:
x2 + bx + 12
Possible Answers: -13, -8, -7, 7, 8, 13
What are the two graphing forms of quadratic equations (Name of Form AND Formula)?
Standard Form:
y = ax2 + bx + c
Vertex Form:
y = a(x - h)2 + k
What is the smallest possible sum of double a number and its square?
Smallest Total: -1
What formula(s) did we derive when deriving the quadratic formula?
Axis of Symmetry (AoS): -b/2a
Bonus: Discriminant: b2 - 4ac
What does Mr. V say every day to start class?
welcome to the wonderful world of knowledge
The width of a rectangle is 5 meters less than its length. The area is 84 square meters. Find the dimensions of the rectangle.
L = 12
W = 7
Write all 3 binomial special cases in factoring quadratics (Name of Special Case, Factored Form, and Expanded Form).
Perfect Square Binomials:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
Difference of Squares:
(a + b)(a - b) = a2 - b2
At the Mini Market, as the price of milk drops, sales increase. On an average day, a 4L bag of milk costs $3.90, and the store sells an average of 120 bags. Studies have shown that for each $0.10 reduction in price, sales increase by 20 bags per day. Find what price will make the revenue maximum
$2.25
Where does the pencil go on vacation?
Pennsylvania
What class is Mr. V/Mr. G's favorite class?
TRICK QUESTION: all our classes are our favorite class <3