GRADE 8 FACTORING

 1. If one of the factors of $2x^2\ +x\ -15$ is x + 3, what is the other factor?

• A.  2x+ 5

• B. 2x - 5

• C. 5 - 2x

• 2x - 1

2. What is the product of (3 + m) (8 - m)?

• A. $24\ +\ 5m\ -m^2$

• B. $24\ -\ 5m\ -m^2$

• C. $24\ +\ 11m-m^2$

• D. $24-11m-m^2$

3. What is the middle term of the expanded form of $\left(5x+2\right)^2$ ?

• A. 10x
  

• B. 14x

• C. 20x

• D. 12x

4. What is the product of the outer terms of $\left(2x+3y\right)\left(x-4y\right)$ 

• A. 2xy

• B. 3xy

• C.-8xy

• D. 8xy

5. What is the GCF of the terms of the polynomial $25x^2y^3-30x^3y^2\ +\ 45x^4y^3$ ? 

• A.  $x^2y^2$  

• B.  $x^2y^3$  

• C.  $5x^2y^2$  

• D.  $5x^2y^3$  

6. What is the greatest common factor in the expression $28x^8y^4z^6+16x^3y^4z^5$  ?

• A. $8x^3y^4z^5$  

• B. $4x^3y^4z^5$  

• C. $4x^4y^4z^3$  

• D.  $8x^4y^4z^3$  

7. What is the simplest form of $15^2-90+9$  

• A. 125

• B. 144

• C. -66

• D.  -51

8. Factor $x^2-16x+15$  

• A. (x+5)(x-3)

• B. (x-5)(x-3)

• C. (x+15)(x+1)

• D. (x-15)(x-1)

9. What should be multiplied to (3x+5) to get $9x^2-25$  ?

• A. 3x - 5

• B. 3x+5

• C. $9x^2+15x+25$  

• D.  $9x^2-15x+25$  

10. Factor $w^2-8w+15$  

• A. (w+5)(w-3)

• B. (w-5)(w-3)

• C. (w+5)(w+3)

• D. (w-5)(w+3)