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 with GCF first

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+33x+90

3(x+6)(x+5)

400

Factor the following:

4x²-28x-32

4(x-8)(x+1)

500

Factor the following:

6x²-30x-216

6(x-9)(x+4)

WILD CARD

100

Who is the leading scorer in NBA history?  

Kareem Abdul-Jabbar with 38,387 points 

200

Who is the leading scorer in NFL history?

Adam Vinatieri with 2,673 points. 

300

FULLY factor the following:

3x⁸-48x⁴

3x⁴ (x²+4)(x²-4)

400

What team drafted Kobe Bryant?

The Charlotte Hornets.  

500

FULLY factor the following:

x⁴+8x³-20x²

x²(x+10)(x-2)