Chapter 7 Test

What is the prime factorization of 2040

• $2^3\cdot3\cdot5\cdot17$

• $8\cdot15\cdot17$

• $2^3\cdot5\cdot51$

• $40\cdot51$

Find the GCF of 330 and 2100

Find the GCF of  $30x^2\ and\ 105y^2$  

• 5

• 15

•  $5x^2y^2$  

•  $15x^2y^2$  

Kyle is making flower arrangements for a wedding. He has 16 roses and 60 carnations. Each arrangement will have the same number of flowers, but roses and carnations will not appear in the same arrangement. If he puts the greatest possible number of flowers in each arrangement, how many arrangements can he make?

Factor  $-3y^3-6y^2+2y$  completely:

•  $-3y\left(y^2+2y+2\right)$  

•  $-y\left(3y^2-6y+2\right)$  

•  $-y\left(3y^2+6y^2-2\right)$  

•  $-3\left(y^3-2y^2-2\right)$  

Factor  $2n\left(5n+3\right)-7\left(5n+3\right)$  

Factor  $6a^3-3a^2+3+8a\ -4$  

•  $\left(2a-1\right)\left(3a^2+4\right)$  

•  $\left(2a+4\right)\left(3a^2+4\right)$  

•  $\left(6a^3-3a^2\right)\left(8a-4\right)$  

• prime

Factor  $x^2+29x+210$  

• (x+6)(x+35)

• (x+10)(x+21)

• (x+14)(x+15)

• prime

Factor  $x^2-13x-30$  

Factor  $x^2+21x-54$