Algebra 1 Factoring

Miscellaneous

100

The name of this unit

What is Factoring?

200

What does the answer look like for the directions: 'Find the GCF'?

term(remainder)

300

What does the answer look like for the directions: 'factor completely'?

stuff(stuff)(stuff)

400

When can you use the shortcut during X-method?

when a=1

500

What is difference of squares formula?

a²-b²=(a+b)(a-b)

GCF

100

Find GCF

8x²+10

2(4x²+5)

200

Find GCF

-6m³-3m²

-3m²(m+1)

300

Find GCF

-27x³+17x²+9x

-x(27x²-17x-9)

400

Find GCF

28ca²+36cab+4c²b

4c(7a²+9ab+bc)

500

Find GCF

2q³r²-24q²r²-4qr³-12qr²

2qr²(q²-12qp²-2r-6)

Grouping

100

Factor Completely

k³+5k²+5k+25

(k²+5)(k+5)

200

Factor Completely

8m³+10m²+20m+25

(2m²+5)(4m+5)

300

Factor Completely

6x³-2x²+15x-5

(2n²+5)(3n-1)

400

Factor Completely

6x³+18x²-4x-12

2(3x²-2)(x+3)

500

Factor Completely

125x³-25x²+25x-5

5(5x²+1)(5x-1)

a=1

100

Factor Completely

v²+7v+10

(v+2)(v+5)

200

Factor Completely

b²+b-12

(b+4)(b-3)

300

Factor Completely

k²+6k+9

(k+3)²

400

10k²-150k+500

10(k-10)(k-5)

500

Factor Completely

x²-36

(x+6)(x-6)

a ≠ 1

100

Factor Completely

2n²+n-1

(2n-1)(n+1)

200

Factor Completely

7b²-51b+14

(7b-2)(b-7)

300

Factor Completely

6x²+17x-14

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

400

Factor Completely

49x²-16

(7x+4)(7x-4)

500

Factor Completely

24g²-44g-40

4(3g+2)(2g-5)