Grade 8 (Quiz: Factoring Lesson 1&2)

Which of the following is the GCF of

 $14x^3\ and\ \ 21x^2?$  

•  $14x^2$  

•  $7x^2$  

•  $7x^3$  

•  $14x^3$  

Which of the following is a difference of two squares?

•  $12x^2-16y^2$  

•  $8a^4-4b^2$  

•  $9x^4-25y^2$  

•  $14x^2-36y^4$  

Tags

CCSS.HSA.APR.C.4

Which of the following shows a Sum of two cubes?

• $9a^3+27b^3$

• $8v^6+125w^9$

• $12c^2+18d^3$

• $27g^6+64h^5$

Which of the following shows a Difference of two cubes?

•  $8a^3-27b^3$ 

•  $8v^6-125w^{14}$ 

•  $12c^2-18d^3$ 

•  $27g^6-64h^5$ 

Factor Completely:

 $12a^2+16ab^2$  

•  $4a\left(3a+4b^2\right)$  

•  $4a\ \left(3a^2+4b\right)$  

•  $6a\left(3a^2+4b^2\right)$  

•  $6a\left(3a+4b^2\right)$  

What are the factors of

 $81x^2y^4-16z^6$  

•  $\left(9xy^2-4z^3\right)\left(9xy^2+4z^3\right)$  

•  $\left(9xy-4z\right)\left(9xy+4z\right)$  

•  $\left(9x^2y^2+4z^3\right)\left(9x^2y^2-4z^3\right)$  

•  $none\ of\ the\ above$  

Tags

CCSS.HSA.APR.C.4

Factor Completely:

 $8d^3e^6+27f^{12}$  

•  $\left(2de^2-3f^4\right)\left(4d^2e^4+6de^2f^4+9f^8\right)$  

•  $\left(2de^2+3f^4\right)\left(4d^2e^4-6de^2f^4+9f^8\right)$  

•  $\left(4de+9f^6\right)\left(2de^2-36def^6+81f^{12}\right)$  

•  $\left(4d^2e^3-9f^6\right)\left(2de^3+36def+9f^6\right)$  

Tags

CCSS.HSA.APR.C.4

Which of the following would result to:

 $a^6+b^9$  ?

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

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

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

•  $\left(a^3+b^9\right)\left(a^3-b^9\right)$  

Tags

CCSS.HSA.APR.C.4

What is the GCF of:

 $12x^2\left(5y-3\right)^4and\ \ \ 16x^4\left(5y-3\right)^3$  

•  $4x^4\left(5y-3\right)^4$  

•  $4x^2\left(5y-3\right)^4$  

•  $4x^2\left(5y-3\right)^3$  

•  $4x^{ }\left(5y-3\right)$  

Which of the following is a prime number?

• 1

• 9

• 13

• 15

Tags

CCSS.4.OA.B.4