FACTORING!!!

Differences of Squares

100

Factor:

x² - 25

(x - 5)(x + 5)

200

Factor:

x² - 324

(x - 18)(x + 18)

300

Factor:

4x² - 121

(2x - 11)(2x + 11)

400

Factor:

16x² - 400

16(x - 5)(x + 5)

500

Can you factor x² + 25? Why or why not?

Not using the traditional ideas. But with imaginary numbers, yes!

PST

100

Factor:

x² - 2x + 1

(x-1)(x-1) = (x-1)²

200

Factor:

4x² + 12x + 9

(2x + 3)²

300

Factor:

49x² - 42x + 9

(7x - 3)²

400

Factor:

16x²-24x+9

(4x - 3)2

500

Factor:

121x² -154x +49

(11x -7)²

Factor by Grouping

100

6x² + 11x - 35

(3x - 5)(2x + 7)

200

Factor:

p²m+p²n⁵+qm+qn⁵

(m + n⁵)(p² + q)

300

30x¹⁰+20x⁹-9x⁸-6x⁷

x⁷(10x² - 3)(3x + 2)

400

Factor:

2y³+10y²-2y-10

2(y+ 5)(y + 1)(y - 1)

500

Daily Double!

Is 57 a prime number?

No

JUST LET ME PRACTICE

100

Factor:

24x²y³ + 16x⁴yz³

8x²y(3xy² + 2x²z³)

200

Factor:

32x² - 50

2(8x - 5)(8x + 5)

300

Factor:

-16x²+12x-18

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

400

Factor:

x²+2022x-2023

(x - 1)(x + 2023)

500

Factor:

3x² - 4x + 8

Prime/not factorable

Mega Random

100

What planet is 3rd from the sun?

Earth

200

Mr. Acuña's favorite color

Blue

300

When someone can hear a song and then play it without practicing - what is it called?

Perfect Pitch

400

Which side of the hallway should you walk on? Why do we teach you this?

Right side. It's also the same as driving. And so people don't bump into each other in the street.

500

How many Great Lakes are located entirely in United States territory?

Just one: Michigan