42. Use synthetic division to find (x³ –- 9x2 + 6x + 52) ÷ (x + 2). (A) x² 11x + 26 – (C) x? - 11x + 28 x+2 (B) x² – 11x + 25 - -7 I+2 (D) x2 – 11x + 23 6. x+2 43. f(x) = x³ + 8x2 – 51a 370. Use sythetic division to find f(7). Is x -7 a factor of f(x)? %3D (A) Yes, f(7) = 0 (C) No, ƒ(7) = 0 %3D (B) No, ƒ(7) = 8 (D) Yes, f(7) = 8 %3D %3D 44. Given k = -1 is a zero of f(x) = x3 + 8x2 - 53x -60, factor f(x). (A) ƒ(x) = (x – 4) (x + 1) (x + 15) (C) ƒ(x) = (x – 30) (x – 1) (x + 2) %3D (B) f(x) = (x – 3) (x – 1) (x + 20) (D) ƒ(x) = (x - 5) (x+ 1) (x + 12) %3D 45. Find all possible rational zeros of f(x) = 12x³ – 4x2 +x - 6. (C) { }, 1, }, 2, 3, 6} 1 1 1 1 1 2 3 12' 6 4' 3' 2 3 4 3 ) 3 2) 1, 올, 응,, 2,3, 4, 6, 12} 1, 흥, 2,3,6} 1 2 6 3 2) 3 (A) {0, (B) {0, 1, 4 3 > 3 2) 1 1 1 2 3 12 6 4 3' 2 3) 4 2,3, 4, 6, 12} 6 3 2 3 46. Given f(x) = x4 – 23x² + 18x + 40, find all zeros of f(x). %3D (C) {-2, –1,4, 5} (D) {-5, –1,2, 4} (A) {-1,2,4, 5} (B) {-5, –2, –1, 4} 47. Given f(x) = x + x³ – 4.x2 – 34x – 120, find all zeros of f(x). (A) {-3, 4, –1 – 3i, –1+ 3i} (C) {-3,4,1 – 3i, 1 + 3i} (D) {-3,4, –1 – 3i, 1+ 3i} (B) {-3,4, –1+ 3i, 1 – 3i} 48. If x = 6 + 9i a zero of a polynomial function, f(x), what else must be a zero? (A) 9 – 6i (C) 9+ 6i (B) 6 – 9i (D) Ø