Practice with Multiplying Polynomials Topic Index | Algebra Index | Regents Exam Prep Center

 Directions:  For the following problems, choose an answer from among the multiple choices listed.
 1. Choose: Explanation Did you remember the special rule for this problem? (a+b)(a-b)=a² - b² If not, use the distributive method.

 2. Choose: Explanation Multiply (x+4)(x+4) Use the distributive method to multiply.

 3. (a + 4)(a + 3) = Choose: Explanation Don't forget to use the distributive method. (a+4)(a+3)=a•a+a•3+4•a+4•3 =a²+7a+12

 4. (x + 1)(x² + 2x + 1) = Choose: Explanation Use the distributive method for multiplicaton and go slowly!!! (x+1)(x²+2x+1)= x³+2x²+x+x²+2x+1= x³+3x²+3x+1

 5. (2m + 6)(2m - 6) = Choose: Explanation Remember the special rule: (a+b)(a-b)=a²-b² OR use the distributive method to multiply. 4m²-12m+12m-36= 4m²-36

 6. (2x2)(3x2 + 5x - 4) = Choose: Explanation Using the distributive method, multiply 2x² times each of the terms inside the parentheses.

 7. (2y - 1)² = Choose: Explanation (2y-1)(2y-1)= 4y²-2y-2y+1= 4y²-4y+1

 8. (3a + 2b)(a + b) = Choose: Explanation (3a+2b)(a+b)= 3a²+3ab+2ab+2b²= 3a²+5ab+2b²

 9. (x - 2)³ = Choose: Explanation Square the expression first. (x-2)(x-2)=x²-4x+4 Now multiply again by (x-2): (x-2)(x²-4x+4)= x³-4x²+4x-2x²+8x-8= x³-6x²+12x-8

 10. (3x + 3)² = Choose: Explanation (3x+3)(3x+3)= 9x²+9x+9x+9= 9x²+18x+9

 11. Choose: Explanation 3/10y² - 30y + 5y - 500 3/10y² - 25y - 500

 Topic Index | Algebra Index | Regents Exam Prep Center Created by Donna Roberts