Factoring Review

GCF

100

Factor the following:

125x⁹-175x⁸

25x⁸ (5x-7)

200

Factor the following:

72x⁵y⁴-31x⁴y⁵

x⁴y⁴ (72x-31y)

300

Factor the following:

60x³y⁴-75x⁵y²+30x⁶y³

15x³y² (4y²-5x²+2x³y)

400

Factor the following:

108x⁷y⁸z⁶+64x⁵y⁷z⁵

4x⁵y⁷z⁵ (27x²yz+16)

500

Factor the following:

475x³yz⁵+250xy³-300x⁸y⁷z⁴

25xy (19x²z⁵+10y²-12x⁷y⁶z⁴)

Diff. of 2 Squares

100

Fully factor the following:

x²-225

(x-15)(x+15)

200

Fully factor the following:

y²+196

PRIME

300

Fully factor the following:

49z²-1

(7z-1)(7z+1)

400

Fully factor the following:

9x³-81x

9x (x-3)(x+3)

500

Fully factor the following:

16x⁴-64x²

16x² (x-2)(x+2)

Trinomials a=1

100

Factor the following:

x²-12x-64

(x-16)(x+4)

200

Factor the following:

x²-5x-6

(x-6)(x+1)

This is a sneaky tricky one.  Two factors of 6 (3/2 and 6/1) both have combinations to make 5.  However, 3 and 2 would would both need to be negative and when you FOIL to check it, that would give you a +6 rather than -6

300

Factor the following:

x²-22x+121

(x-11)² or (x-11)(x-11)

400

Factor the following:

x²+x-132

(x+12)(x-11)

500

Factor the following:

x²+29x+180

(x+20)(x+9)

Trinomials a>1

100

FULLY factor the following:

3x²-3x-36

3(x-4)(x+3)

Don't forget to take out the GCF to start when you can!

200

FULLY factor the following:

6x²-12x-144

6(x-6)(x+4)

Take out your GCF of 6 to start which then produces the much more likable x²-2x-24

300

Factor the following:

3x²+35x+72

(3x+8)(x+9)

400

Factor the following:

9x²-12x-32

(3x+4)(3x-8)

500

Factor the following:

8x²+23x-36

(8x-9)(x+4)

WILD CARD

100

Who is the leading scorer in NBA history?  

Kareem Abdul-Jabbar with 38,387 points (LeBron needs 4,732 to pass him!  MJ scored 32,292 (don't forget he retired twice).

200

Who is the leading scorer in NFL history?

Adam Vinatieri with 2,673 points.  

BONUS 200 point question- who is the leading NON-KICKER leading scorer in NFL history? (Hint-he is in 37th place with 1,256 points)

300

FULLY factor the following:

3x⁸-48x⁴

3x⁴ (x²+4)(x-2)(x+2)

400

What team drafted Kobe Bryant?

The Charlotte Hornets.  They traded him for Vlade Divac on draft day in 1996. Imagine how different NBA history would have been!

500

FULLY factor the following:

48x²+2x-20

2 (8x-5)(3x+2)

GCF of 2 comes out which leaves you with 24x²+x-10 which then leaves you with A LOT of trial and errors to work on.  Always use the "closer together" factors to save time.  Although 6x and 4x didn't work, the next in line was 8x and 3x which worked!