Factoring Dots

Unit 2 Factoring Review (Topics)

Advanced Topics

​Factoring by GCF

• ​Look to see what the LARGEST number AND variable that you can DIVIDE evenly into each term

​

• ​Write your final answer like-

  • ​ GCF( _______ )

• Watch the video on Factoring GCF ONLY IF you are still struggling...if not move on to the review questions

Multiple Choice

Factor:
56a³-8a

• 8a²(56a³-8a)
• 8a(7a²-1)
• 8a(7a³-a)
• 8a²(35a²-a)

Multiple Choice

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n)
• 2n³(10-8n²)
• 3n(1-4n)

Multiple Choice

Factor 4x - 20

• 4(x -5)
• 4(x + 5)
• 4x(1 - 5)
• 4x(1 + 5)

Multiple Choice

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Multiple Choice

Factor by GCF:
17xy - x

• 17(xy - x)
• y(17x - x)
• x(17y - 1)
• not factorable

Multiple Choice

Factor by GCF:
6m² + 16m

• 2(3m² + 8m)
• 2m(3m + 8)
• 2m(3m - 8m)
• not factorable

Multiple Choice

Factor by using GCF:
8n³ + 2n²

• 2n²(4n-1)
• 2n²(4n + 1)
• n²(8n+2)
• 3n(4n+1)

Multiple Choice

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

​Factoring by DOTS

• ​Subtractions Sign ??

• ​Exponents even??

• ​BOTH numbers are PERFECT SQUARES??

​- Write answer like; (_+_)(_-_)

​Watch the video on Factoring DOTS ONLY IF you are still struggling...if not move on to the review questions

Multiple Choice

Factor x² - 121

• (x - 11)(x - 11)

• (x + 11)(x + 11)

• (x + 11)(x - 11)

• (x - 9)(x + 9)

Multiple Choice

Factor 9x² - 64

• (3x - 8)(3x + 8)

• (3x + 8)²

• (3x - 8)²

• (x + 8)(x - 8)

Multiple Choice

Factor 81m² - 4

• (2m - 9)(2m + 9)

• (9m - 2)(9m - 2)

• (m - 2)(m + 9)

• (9m - 2)(9m + 2)

Multiple Choice

Factor a² - 225

• (a - 15)(a - 15)

• (a + 15)(a - 15)

• (a + 15)(a + 15)

• (a - 15)²

Multiple Choice

Factor k² + 36

• (k - 6)(k + 6)

• (k + 6)(k +6)

• (k - 6)(k - 6)

• Not factorable

Multiple Choice

Factor 49d² - 1

• (7d - 1)(7d - 1)

• (7d + 1)²

• (d - 7)(d + 7)

• (7d + 1)(7d - 1)

Multiple Choice

25r² - 144

• (5r - 12)(5r - 12)

• (5r - 12)(5r + 12)

• (r - 5)(r - 12)

• (12r - 5)(12r + 5)

Multiple Choice

Factor $$225-r^2$$  

• $$\left(r-15\right)\left(r+15\right)$$  

• $$\left(15-r\right)\left(15+r\right)$$  

• $$112.5-r$$  

Multiple Choice

16n² - 25

• (16n - 25)(16n + 25)
• (8n - 5)(8n + 5)
• (4n + 5)(4n - 5)
• Not Factorable

​Factoring Trinomials

• ​ THERE ARE 3 TERMS!!!

​- USE YOUR CALCULATOR TO FIND THE 2 NUMBERS: Y= Button

​

​y1 = "C"/x

​y2 = "B" - X

​Look for where the numbers MATCH

​Watch the video for more help if you need too! Otherwise move onto the review questions.

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Multiple Choice

Factor
x² - 5x - 36

• (x - 4)(x + 9)
• (x - 6)(x + 6)
• (x + 4)(x - 9)
• (x -12)(x + 3)

Multiple Choice

Factor
k² - 2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Multiple Choice

Factor:
 b² + 8b + 7

• (b + 4)(b + 3)
• (b + 6)(b + 1)
• (b + 7)(b +1)
• prime

Multiple Choice

Factor:
 x² - 4x + 24

• prime
• (x + 6)(x - 4)
• (x - 8)(x - 3)
• (x - 12)(x - 2)

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Multiple Choice

Factor
x² +17x - 60

• (x - 20)(x + 3)
• (x + 12)(x - 5)
• (x - 12)(x + 5)
• (x + 20)(x - 3)

​Factor by GROUPing

• ​THERE ARE 4 TERMS!!

  • ​Group into 2 GCF Problems

  • ​FInd GCF

  • ​Answers in the (___) must match

  • Write final answer

  ​​Watch the video for more help if you need too! Otherwise move onto the review questions.

Multiple Choice

Factor:

20x³ - 25x² + 4x - 5

• (5x²-5)(4x+1)
• 5(x²-1)(4x+5)
• (5x²+1)(4x-5)
• (5x²+1)(4x-1)

Multiple Choice

Factor:

7r³ - 8r² + 42r - 48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Multiple Choice

Factor by grouping:

x³ + 7x² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Multiple Choice

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Multiple Choice

Factor:

x² + 8x + 2x + 16

• (x+2)(x+8)

• (x-2)(x-8)

• (x+1)(x+16)

• (x+6)(x+10)

Multiple Choice

Factor

x² + 12x - 3x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Multiple Choice

Factor

3a² + a + 3a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Multiple Choice

Factor:

2n² + 10n + 3n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

Multiple Choice

Factor:

6x² + 2x – 21x – 7

• (2x +7)(3x – 1)

• (1x – 1)(6x+7)

• (2x – 7)(3x+1)

• (6x – 7)(1x+1)