What Type?
What method would you use to factoring this equation:
3x2+14x+8
The AC Method
What about an equation shows that you need to use the AC Method to solve it?
The leading number is something other than 1
What are the two types of "Special Cases" in factoring?
Difference of Two Squares
Perfect Square Trinomials
How will you know when you need to use grouping?
There are four or more terms
What year was the MLB founded?
1869
What type of equation is this:
4x2-25
What is the first step that you use in the AC Method?
Multiply A and C together
Is this equation a perfect square trinomial?
9x2+11x-30
No.
30 is not a perfect square.
Once you've put your equation into groups, what do you need to do with each binomial?
Factor out the GCF
How many NFL teams haven't won a SuperBowl?
Double points if you can name at least 3.
12
Vikings, Bills, Bengals, Panthers, Falcons, Chargers, Titans, Cardinals, Browns, Lions, Texans, Jaguars
What type of equation is this:
4x2+44x+121
Perfect Square Trinomial
When making your binomials for step 3 of the AC Method, how do you know which factor to put first?
Put the bigger factor first
Which type of "Special Case" would have the Solution:
(x+4)(x-4)
Double points if you can tell me what the equation is that will have the solution above.
Difference of Two Squares
(x2-16)
What is wrong with the following:
10x3-5x2+4x2-2x
(10x3-5x2) (4x2-2x)
5x2(2x-1x)+2x(2x-1x)
(5x2+2x)(2x-1x)
What is the record for the longest drive in a golf competition?
Double points if you can name either the golfer or the year. Triple points if you can name both.
475 yards.
Mike Austin in 1974.
Would you use the AC Method to solve the following equation:
x2-6x-40
8x2-22x-6
(4x+1)(2x-6)
Factor the following:
100x2-121
(10x+11)(10x-11)
Factor the following using Grouping:
8ax-9bx+40ay-45by
(x+5y)(8a-9b)
How many SuperBowls has Tom Brady played in?
Double points if you know his win/loss record.
10
7 wins, 3 losses
What method would you use to solve this equation:
5x4+20x3-15x2-60x
Grouping
Use the AC Method to solve the following equation:
18x2-21x-30
(6x+5)(3x-6)
Factor the following:
9x2+42x+49
(3x+7)2
Factor the following using Grouping:
10x4+40x3-6x2-24x
(10x3-6x)(x+4)
The Los Angeles Dodgers have the most expensive 2021 payroll of all MLB teams. What is their total payroll this season?
Double points if you can name which team has the least expensive payroll. Triple points if you can guess it within a million dollars.
$247,527,052
Cleveland Indians ($48,865,128)