Rules/Steps to Factoring
Factoring: x2+bx+c
Factoring: ax2+bx+c
Factoring: by GCF
When Did We Learn That?
100
When factoring a trinomial, what is the first thing you look at to determine the signs of the two binomial factors?
look at the 2nd sign in the trinomial
100

Factor: x2 + 23x + 42

(x+21)(x+2)

100

Factor: 3x2 + 16x + 5

(3x+1(x+5)

100

In mythology, Cupid is the son of ...

a) Venus

b) Hercules

c) Zeus

d) Athena

a) Venus

She was the goddess of love and beauty, and Cupid is often depicted with a bow and arrows to pierce hearts and cast a spell of love.

100
Solve: 3x - 7 = 11
6
200

Where did the first Valentines Day Celebration take place?

a) London

b) Paris

c) New York City

d) Brazil

b) Paris

200

Factor: h2 - 14h - 72

(h-18)(h+4)

200

 8g2 - 14g + 3

(4g-1)(2g-3)

200

Factor: 8x2 - 36x - 20

4(2x+1)(x-5)

200
Solve: 2x + 8 = 5x - 7
5
300
When factoring ANY trinomial, what must you check for?
To see if a greatest common factor (GCF) can be factored out.
300

What candy wasn't available in 2019?

a) Hershey's Kisses

b) KitKats

c) Candy Hearts

d) Twizzlers

c) Candy Hearts

Their company filed for bankruptcy in 2018 and had to sell off it's candy brands.  The candy returned to shelves in 2020.

300

Factor: 8x2 + 2x - 1

(4x-1)(2x+1)

300

Factor: 30x2 + 14x - 8

2(3x-1)(5x+4)

300

How much do American's spend for Valentine's Day?

a) $20 million

b) $20 billion

c) $100 million

d) $100 billion

b) $20 billion

They are expected to spend even more in 2022, projections are at $30 billion!

400
When factoring a trinomial that has a lead-coefficient, and no GCF, what is the first-step you must take to begin factoring the trinomial?
Multiply the lead-coefficient and the constant (a * c)
400

x2+14x+48

(x+6)(x+8) 

400

True or False?

Wearing your heart on your sleeve is more than just a phrase.  In the Middle Ages, young men and women drew names to see who their valentine would be, and they would wear the name pinned to their sleeve for one week.

True

400

Factor: 24x2 + 52x - 20

4(2x+5)(3x-1)

400
What is the slope and y-intercept of -2y = 8x - 10
slope is -4 and y-intercept is 5
500
John factored n2 - 6n + 9 to be (n-3)(n+3). Find his error.
it should be (n-3)(n-3)
500

c2-9c-52

(c-13)(c+4)

500

 27x2 + 6x - 8

(9x-4)(3x+2)

500

Factor: 24x2 + 96x + 90

6(2x+3)(2x+5)

500
Solve the system of equations using the elimination method: 2x + y = 9 and 3x - y = 16
(5, -1)
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