Convert to Standard Form/Factor GCF and Grouping

Rewrite in standard form:

 $y=\left(x+2\right)\left(x+3\right)$  

•  $y=2x+5$  

•  $y=x^2+6$  

•  $y=x^2+x+6$  

•  $y=x^2+5x+6$  

Rewrite in standard form:

 $y=2\left(x-3\right)\left(x+5\right)$  

•  $y=x^2+2x-15$  

•  $y=2x^2-30$  

•  $y=2x^2+2x-15$  

•  $y=2x^2+4x-30$  

Rewrite in standard form:

 $y=\left(2x-1\right)\left(x+2\right)$  

•  $y=2x^2+3x-2$  

•  $y=2x^2+x-2$  

•  $y=2x^2+2x-4$  

•  $y=x^2+x-2$  

 $y=-3(x+5)^2-4$  
Convert the equation from vertex form to standard form.

• y = 9x² - 15x + 21

• y = -3x² - 75x - 4

• y = 9x² + 90x + 221

• y = -3x² - 30x - 79

 $y=-5(x+2)^2-10$  
Convert the equation from vertex form to standard form.

• y = -5x² - 20x - 30

• y = -5x² - 4x - 10

• y = 25x² + 100x + 90

• y = 25x² - 10x - 30

 $y=4(x+2)^2-8$ 

Convert the equation from vertex form to standard form. 

•  $y=4x^2+16x+8$  

•  $y=4x^2+16x+16$  

•  $y=16x^2+64x-8$  

•  $y=16x^2+256x+8$  

 Factor out the GCF of 

 $9b^3-18b^2$ 

•  $3b\left(3b^2-6b\right)$  
  

•  $9b^2\left(b-2\right)$  
  

•  $b^2\left(9b-2\right)$  
  

•  $b^2\left(3b-6\right)$  
  

Factor by grouping:
5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Factor by GCF:
4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)
• 4b³(b⁴+4b+5)
• 4(b⁵+b³+4b²)
• 4b²(b³+b+4)

Factor by GCF

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable