Lesson 8: Factoring Polynomials Completely — Practice Questions

1. 1. Factor the trinomial completely: $3n^2 + 30n + 72 = \_\_\_$.

2. 2. Factor completely: $-2x^3 - 16y^3 = $ ___.

3. 3. Factor the trinomial completely: $7b^2 + 7b - 42 = \_\_\_$.

4. 4. Factor the polynomial completely: $8m^2 - 32 = \_\_\_$.

5. 5. Factor the polynomial completely: $36q^2 - 100$.

   • A. 4(3q-5)(3q+5)
   • B. (6q-10)(6q+10)
   • C. $4(3q-5)^2$
   • D. $2(18q^2 - 50)$

6. 6. Factor the trinomial completely: $45n^2 + 60n + 20 = \_\_\_$.

7. 7. Factor the polynomial completely: $18p^6 + 24p^3$.

   • A. $6p^3(3p^3 + 4)$
   • B. $6p^3(3p^2 + 4)$
   • C. $3p^3(6p^3 + 8)$
   • D. $6p^2(3p^4 + 4p)$

8. 8. Factor completely: $4p^2 - 100 = $ ___.

9. 9. Factor the polynomial completely: $48q^3 - 24q^2 + 3q$.

   • A. $3q(4q-1)^2$
   • B. $3q(4q+1)^2$
   • C. $3(16q^3 - 8q^2 + q)$
   • D. $3q(16q^2 - 8q + 1)$

10. 10. Factor the polynomial completely: $10x^4 + 35x^3 = \_\_\_$.