Write the letter for the correct answer in the blank at the right of each question. 1. Simplify (3ab2)(2a3b2)2 F 12a6b6 G 36a6b8 H 658 J 12ab6 2. Simplify (3x) 2(2x4). A x4 B 12x4 C 18x6 D 18x4 3. Simplify 4a*bac 12a2b5(3* Assume that no variable equals 0. F a2b3 G a2b3 a2c2 8c2 3c2 H - 3b3 3b3 c2 4. Max is simplifying the expression (2x - 5x3)( x4 + 3x2 -4). Which of the following shows the correct product? A 2x9 - x7 + 23x5 - 20x3 C 2x9- x7 + 23x5 - 20x3 B 2x20 _ 6x10 + 8x5 + 5x12 + 15x6 - 20x3 D 2x" + x7 - 23x5 + 20x3 5. Simplify (3a3 -7a2 + a) -(6a3 - 4a2 -8). F -3a6 - 3a* + a + 8 H -3a3 - 11a2 + a-8 G-3a6 - 1la+ + a -8 J-3a3 - 3a2 + a + 85. Simplify (3a3 - 7a2 + a) -(6a3 -4a2 -8). F -3a6 - 3a+ +a +8 H-3a3 - 1la2 + a -8 G-3a6 - 1la4+ a -8 J-3a3 - 3a2 + a + 8 6. Simplify (7m - 8)2. A 49m2 + 64 C 49m2 - 112m + 64 B 49m2 - 64 D 49m2 - 30m + 64 7. Simplify (4x3 - 2x2 + 8x + 8) + (2x + 1). F 2x2 - 2x + 5 + - 3 9 2x + 1 H 2x2+4 2x + 1 G 2x- +4 - 12 J x2 - 4x + 6- 14 2x + 1 2x + 1 8. Simplify (6x3 - 16x2 + 11x -5) + (3x - 2). A 6x2 - 12x + 3 - 9 C 2x2 - 4x + 1 3 3x - 2 3x - 2 B 2x2 - 4x + 1 9 3x - 2 Dx2 + 8x - 3 3x - 2 9. Which represents the correct synthetic division of (2x - 5x + 40) + (x + 3)? F -3 2 -5 40 H -3 2 0 -5 40 -6 33 -6 18 -39 2 -11 73 2 -6 13 G 3 2 -5 40 3 2 0 -5 40 6 3 6 18 39 2 1 43 2 6 13 7910. Simplify t'+t-6 t - 2 Assume that the denominator is not equal to 0. At - 5 Bt - 2 Ct-3 Dt+ 3 11. If r(x) = x3 - 2x + 1, find r(2a3). F 8a6 -4a3 + 1 G4a6 + 4a3 + 1 H606 -4a3 +1 JBa" -403 + 1 12. Factor y - 64 completely. A (y - 4)3 C(y -4)( yz + 4y + 16) B(y -4)(y + 4)2 D(y -4)( y2 - 4y + 16) 13. Find p(-4) if p(x) = 3x3 - 2x2 + 6x -4. F -252 G-140 H 132 J 180 14. Solve b4 + 262 - 24 =0. A -2, -V6 , V6 , 2 C-2, 2, i v6, i V6 B -V6, 2, 21, i V6 D -21, 21, -V6, V6 15. Solve x4 - 6x2 -27 = 0. F V3 , 3, 3i, iV 3 H -3, 3, 1V/3, -iv3 G-3, -V3 , V3 , 3 J -V3 , 3, 31, -3i 16. Use synthetic substitution to find f(-2) for f(x) = 2x4 - 3x3 + x2 - x +5. A 15 B 67 C 63 D 19 17. One factor of x3 -3x2 -4x + 12 is x + 2. Find the remaining factors. Fx + 2, x+3 Gx+ 2, x-3 Hx-2, x+3 Jx-2, x-318. Which describes the number and type of roots of the equation x* - 64 =0? A 2 real roots, 2 imaginary roots C 4 real roots B 3 real roots, 1 imaginary root D 4 imaginary roots 19. State the possible number of imaginary zeros of f(x) = 7x3 - x2 + 10x - 4. F exactly 1 G exactly 3 H 3 or 1 J 2 or 0 20. Find all the rational zeros of f(x) = 4x3 - 3x2 - 22x - 15. At, t1, 13 B- -1,3 C1,3 D -5, -1, 3