FACTORLAND

Factoring by Grouping

100

4x²+2x+4x+2

What is (2x+2)(2x+1)?

(4x²+2x)(4x+2)

2x(2x+1)2(2x+1)

(2x+2)(2x+1)

200

8x³-5x²-16x+10

What is (x²-2)(8x-5)?

(8x³-5x²)(-16x+10)

x²(8x-5)-2(8x-5)

(x²-2)(8x-5)

300

28n³+7n²-56n-14

What is 7(n²-2)(4n+1)?

7(4n³+n²-8n-2)

7{n²(4n+1)-2(4n+1)}

&(n²-2)(4n+1)

400

128x³+48x²+320x+120

What is 8(2x²+5)(8x+3)?

(128x³+48x²)(320x+120)

16x²(8x+3)40(8x+3)

8(2x²+5)(8x+3)

500

150a³-90a²-90a+54

What is 6(5a²-3)(5a-3)?

150a³-90a²-90a+54

30a²(5a-3)-18(5a-3)

(30a²-18)(5a-3)

6(5a²-3)(5a-3)

Operations with polynomials

100

8a+4a

What is 12a?

200

10b+2b-4a

What is 12b-4a?

300

2c+7c-4a+3a

What is 9c-a?

400

(8p+5p²-8p⁴)-(p⁴+2p²+3)

What is -9p⁴+3p²+8p-3?

(8p+5p²-8p⁴)-(p⁴+2p²+3)

8p+5p²-8p⁴-p⁴-2p-2p²-3

-9p⁴+3p²+8p-3

500

(6u⁴v⁴+2u²v³+v²⁾-(3v²-6u²v³-6u⁴v)

What is 12u⁴v⁴+8u²v³-2v²?

(6u⁴v⁴+2u²v³+v²⁾-(3v²-6u²v³-6u⁴v⁴)

6u⁴v⁴+2u²v³+v²-3v²+6u²v³+6u⁴v⁴

12u⁴v⁴+8u²v³-2v²

Factoring a Trinomial

100

x²+4x+4

What is (x+2)(x+2)?

200

x²+7x+10

What is (x+5)(x+2)?

300

4x²+36x-40

What is 4(x+10)(x-1)?

4x²+36x-40

4(x²+9x-10)

400

h²-4h-96

What is (h-12)(h+8)?

500

4v²-56v+192

What is 4(v-8)(v-6)?

4(v²-14v+48)

4(v-8)(v-6)

Factoring by AC Method

100

2a²+6a+4

What is (2a+2)(a+2)?

2a²+6a+4

(2a²+4a)(2a+4)

2a(a+2)2(a+2)

(2a+2)(a+2)

200

3v²+38v+6

What is prime?

300

2x²-7x+3

What is (2x-1)(x-3)?

2x²-7x+3

(2x²-6x)(-x+3)

2x(x-3)-(x-3)

(2x-1)(x-3)

400

4x²+16x+15

What is (2x+5)(2x+3)?

4x²+16x+15

(4x²+6x)(10x+15)

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

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

500

50v²-195v+135

What is 5(10v-9)(v-3)?

50v²-195v+135

5(10v²-39v+27)

5(10v²-30v)(-9v+27)

5[10v(v-3)-9(v-3)

5(10v-9)(v-3)