1. If a sixth degree polynomial is divided by a second degree polynomial, what is the degree of the quotient? A) 1 B) 2 C) 3 D) 4 2. Divide: x3 + 2x2 - 5x - 10 by x2 - 5. A) x2 - 3x + 10 B) 12 + 7x + 30 C) x + 2 D) x - 2 P(x) - = 0(x) + !(x) 3. In the division algorithm d(x) d(x) , what is the divisor? A) P(x) B) d(x) C) (x) DJ O(x) 4 Find the remainder when x3 - 2x + 4x - 3 is divided by x + 2. A) 27 B) 5 C) -5 D) -27 5. If x0 - 2x2 - 5x + 6 is divided by x + 1, the remainder is zero. A) True B) False C) Cannot be determined For #s 6 to 8, use the illustration of long division below: Divide (2x3 + 3x2 - 10x + 12) by (x-3) 2x + 9.r + 17 x-3 2x + 3x - 10.x +12 (2x) -6.1) 9.x - 10.x -(9.x - 27.x) 17x+ 12 -(17x - 51) 63 6. What is the remainder? A) 17 B) 63 C) x - 3 D) 17x - 51 7. Which is the divisor? A) 2x2 + 9x + 17 C) 2x3 + 3x2 - 10x + 12 B) x - 3 D) 638. Which is the quotient? A) 2x2+9x+17 C) 2x3 + 3x2-10x+12 B) x - 3 D) 63 9. Using synthetic division to divide 73 - 3y? - 20 by y + 3, which of the following is the correct first row of the algorithm? A) 31 7 -3 0 -20 C) -31 7 -3 -20 B) -31 7 -3 0 -20 D) 31 7 -3 -20 For #s 10 and 11, use the following synthetic division: 3 1 -6 2 21 3 -9 -21 -3 -7 0 10. Which polynomial is the dividend? A) x3 - 6x2 + 2x+21 C) x3 - 3x2 - 7x B) x' - 6x3 + 2x2 + 21x D) x2 - 3x-7 11. Which polynomial is the quotient? A) x2 - 6x2 + 2x +21 C) x3 - 3x2 - 7x B) x' - 6x3 + 2x2+ 21x D) x2 - 3x - 7 12. Find the quotient when x3 + 2x2 - 19x - 20 is divided by (x + 5). A) x2 + 3x + 4 C) x2 + 3x - 4 B) x2 - 3x + 4 D) x2 - 3x - 4 13. What is the quotient when 2x3+9x2-2x-3 is divided by (2x +1)? A) x +4x - 3 C) 2x-+ 8x - 6 B) x2 - 4x + 1 D) 2x2 - 8x - 6 14. What will be multiplied to x - 6x + 2 to get 3x3 - 17x2 + 2? A) x+ 3 B) 3x + 2 C) 3x + 1 DJ 3x - 1 15. The volume of a rectangular prism is (2x3 + 11x2 + 11x - 4)cm and its height is (x + 4) cm. What is the area of its base? A) (232 - 3x + 1) cm? C) (2x2 + 3x - 1) cm2 B) (2x2 + 19x + 76) cm D) (2x2 - 19x - 76) cm2 For #s 16 - 20. Pedro bought 18x3 - 39x2 + 8x + 16 pesos worth of tokens for your classroom Christmas party. If each token is worth (3x - 4) pesos, how many tokens did Peter buy? (Show your Complete Solution. You may use Synthetic or Long Division