Lesson 58: Multiplying Polynomials — Practice Questions

1. 1. Use the FOIL method to multiply $(y + 6)(y + 2)$. The simplified expression is $y^2 + 8y +$ ___.

2. 2. What is the simplified product of $(a + 7)(a - 4)$?

   • A. $a^2 + 3a - 28$
   • B. $a^2 - 3a - 28$
   • C. $a^2 + 11a - 28$
   • D. $a^2 - 28$

3. 3. When $(2p + 3)$ is multiplied by $(3p + 1)$, the resulting expression is $6p^2 +$ ___ $p + 3$.

4. 4. Which expression is equivalent to the product of $(5m - 2)(m - 6)$?

   • A. $5m^2 - 32m + 12$
   • B. $5m^2 - 28m + 12$
   • C. $5m^2 - 32m - 12$
   • D. $5m^2 + 12$

5. 5. When using the FOIL method, which two products are typically combined to form the middle term of the final trinomial?

   • A. First and Last
   • B. Outer and Inner
   • C. First and Inner
   • D. Outer and Last

6. 6. Use the distributive property to find the product of $(a+3)(a+7)$. The simplified expression is ___.

7. 7. Which expression is equivalent to the product $(z-6)(z+3)$?

   • A. $z^2 - 3z - 18$
   • B. $z^2 + 3z - 18$
   • C. $z^2 - 9z - 18$
   • D. $z^2 - 18$

8. 8. What is the product of $-4p$ and $(2p+5)$? The simplified expression is ___.

9. 9. A rectangle has a width of $2x$ and a length of $(3x^2 - x + 6)$. Which expression represents the area of the rectangle?

   • A. $6x^3 - 2x^2 + 12x$
   • B. $6x^2 - 2x + 12$
   • C. $6x^3 - x + 6$
   • D. $5x^3 - x + 8$

10. 10. What is the simplified form of the expression $5xy(x^2 - 2y + 4)$? The result is ___.