Lesson 2: Multiplying Polynomials — Practice Questions

1. 1. Use the table method to multiply the binomials $(x + 5)(x + 4)$. Write the resulting trinomial in the form $ax^2 + bx + c$. The result is ___.

2. 2. When multiplying $(p + 7)(p - 3)$ using the table method, what is the result of combining the two linear ($p$) terms?

   • A. 10p
   • B. -21p
   • C. 4p
   • D. -4p

3. 3. Find the product of $(3m - 2)(m + 5)$ using the table method. The simplified result is ___.

4. 4. When multiplying $(2x - 1)(4x + 3)$ using the table method, which of the following is NOT one of the four products found in the table cells?

   • A. $8x^2$
   • B. 6x
   • C. -4x
   • D. 2x

5. 5. What is the simplified product of the binomials $(5y - 2)(2y - 3)$? The result is ___.

6. 6. Which expression represents the correct first step when multiplying $(y + 6)(y - 5)$ using the horizontal method?

   • A. y(y - 5) + 6(y - 5)
   • B. y(y + 6) - 5(y + 6)
   • C. $y^2 - 5y + 6y - 30$
   • D. $y^2 + y - 30$

7. 7. What is the product of $(4m + 3)(2m - 5)$?

   • A. $8m^2 - 14m - 15$
   • B. $8m^2 + 14m - 15$
   • C. $8m^2 - 26m - 15$
   • D. $6m^2 - 14m - 15$