d. Geometric series What is the error? 31. How many triangles will there be next? i. The sign of the divisor was not changed. ii. The terms of the polynomial were not a. 4 arranged according to decreasing b. 5 C. 6 d. 7 power of x. 32. What is the next term in the geometric iii. The sum entries in the third row are sequence 4, - 12, 36? incorrect. a. - 42 b. - 54 c. - 72 d. -108 iv. The numerical coefficients of the first row were not properly written. 33. What do we call the terms between any a. i only c. ii and iv only two given terms of a geometric b. ii only d. i and iii only sequence? e. Common ratio 39. Which of the following statement is true f. Common difference about polynomial expression written in g. Geometric means standard form? h. Geometric series a. The terms can be written in any order. 34. Which of numbers is an example of a b. The exponent of each terms are harmonic sequence? arranging in ascending order. c. 1 1 1 c. The exponent of each terms are ' 9 ' 27 ' 81 arranging in descending order. b. b. = , - 1 , 2, -4 d. 2, 2 2 2 d. Both a and b are correct. ' 7 40. Which expression gives the remainder 35. What is the next term in the harmonic when P(x)= 4x2 + 2x - 5 is divided by x-2? sequence _ 1 1 1 11 ' 15 ' 19 ' 23 ..? a. P(-5) b. P(-2) c. P(2) d. P(5/4) a. 27 b. 25 C. 75 d. For item 41-44, use the illustration on long division that follows: Divide (5x2 + 14x + - 36. Which of the following is an example of a 24) by (x + 4). harmonic sequence? a. 1/2, -1/2, 1/2, -1/2 5x - 6 b. 1/2, -1, 2, -4 x + 4 / 5x2 + 14x - 24 C. 1/3, 1/9, 1/27, 1/81 2nd line 5x2 + 20x d. 2, 2/3, 2/5, 2/7 -6x - 24 -6x - 24 37. Which expressions gives the remainder 0 when P (x) = 4x2+ 2x - 5 is divided by x - 2? 41. What is the remainder? a. P(-5) b. P(-2) c. P(2) d. ( ) a. 5x - b. x+ 4 c. -6 d. 0 42. Which is the divisor? 38. Gabriel used synthetic division to find the a. x + 4 c.5x2 + 14x + 24 quotient if (5x2 - 16x + 4x3 - 3) is divided b. 5x - 6 d. 0 by (x - 2). He obtained -19 as remainder. His solution is shown below. 43. Which is the quotient? a. X + 4 c.5x2 + 14x + 24 5 -16 4 -3 b. 5x - 6 d. C 10 -12 -16 5 -6 -8 -1944. What is the process used to obtain the 2"" line? a. Subtracting 5x from (x + 4) b. Dividing 5): by (x + 4) c. Adding 5x to (x + 4) d. Multiplying 5): by (x + 4) 45. Find k so that (x 2) is a factor of x3 + kx 4. a. -3 b. -2 c. -1 d. 0 46. The remainder after dividing (-10x3 + 5x2 + K) by (x + 1) is 4. Which of the following is the value of K? a. 9 b. 19 c.-19 d.-11 47. Which of the choices is the highest degree of a quadratic equation 2x2 + 6x + B = O? a. 3 b. 2 c. 1 d. 0 4B.The following are examples of polynomials. Except a. x24x+5 c.3x45x3+2x1 in. 4x3 + 8x2+10x- d. x37y3 49. How many real roots does x1 - x3- 11):2 + 9x +18 = 0 have? a. D b. 1 c. 2 d. 3 50.What should n be if f(x) = x" defines a polynomial function? a. an integer b. a nonnegative integer c. any number d. any number except 0 51 . Find the sum of the geometric sequence where the rst term is 3. the last term is 46 875, and the common ratio is 5. a. 58 593 b. 58 594 ' c. 58 595 d. 58 596 52.Which of the following expressions is not a polynomial? a. 2x + 1 c. xJZ b.+1 d.x2+7x+5 53. Find the remainder when (it9 + 2xa + 3x7 + + 9x) is divided by (x 1). a. 45 b. 90 C. 180 d. 360 54.Which polynomial gives a quotient of (3x2 + 2x + 4) and a remainder of 19 when divided by (2x 3)? a. 6x35x3+2x c.6x35x2+2x+7 b. 6x35x2+4x+7 d. 6x3+5x2+2x+7 55. Given Ptx) = 2x3 + 3x2 5x 12. What is the value of P(3)? a. 56 b. 55 c. 54 d. 53 56. What is the next term in the Fibonacci sequence 1,1. 2. 3. 5, 8, .-.? a. 13 b.16 c. 12 d. 14 57.The remainder after dividing (- 10x3 + 5 x2 + K) by (x+ 1) is 4. Which of the following is the value of K? a. 9 b.19 c.5 d.1O 58. What is the quotient when (2)(' + 4x3 5 x2+ 2x 3) is divided by (2::2 + 1)? a. x2+2x3 c.x2+2x+3 b. x22x3 d.x2+2x+3 59.What is the remainder when (5x100 + 5) is divided by (x - 1)? a. 5 b. 10 c. -5 d. 10 60. Find the value of K so that (x + 2) is a factor of 3x3 + kxz + 5x 27. a. 4 b. 4/6 c. 5114 d. 61