Factoring Trinomials

Rules/Steps to Factoring

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

200

Where did the first Valentines Day Celebration take place?

a) London

b) Paris

c) New York City

d) Brazil

b) Paris

300

When factoring ANY trinomial, what must you check for?

To see if a greatest common factor (GCF) can be factored out.

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)

500

John factored n2 - 6n + 9 to be (n-3)(n+3). Find his error.

it should be (n-3)(n-3)

Factoring: x2+bx+c

100

Factor: x² + 23x + 42

(x+21)(x+2)

200

Factor: h² - 14h - 72

(h-18)(h+4)

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.

400

x²+14x+48

(x+6)(x+8) 

500

c²-9c-52

(c-13)(c+4)

Factoring: ax2+bx+c

100

Factor: 3x² + 16x + 5

(3x+1(x+5)

200

 8g² - 14g + 3

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

300

Factor: 8x² + 2x - 1

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

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

500

 27x² + 6x - 8

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

Factoring: by GCF

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.

200

Factor: 8x² - 36x - 20

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

300

Factor: 30x² + 14x - 8

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

400

Factor: 24x² + 52x - 20

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

500

Factor: 24x² + 96x + 90

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

When Did We Learn That?

100

Solve: 3x - 7 = 11

6

200

Solve: 2x + 8 = 5x - 7

5

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

What is the slope and y-intercept of -2y = 8x - 10

slope is -4 and y-intercept is 5

500

Solve the system of equations using the elimination method: 2x + y = 9 and 3x - y = 16

(5, -1)