Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Find the remainder using remainder theorem, when 4x4+13x3 + 3x2 - 7x + 11 is divided by x - 1 Remainder Answer:_______________ |
| 2) Find the remainder using remainder theorem, when 3x3 + 7x2 - 4x + 8 is divided by x- 3 Remainder Answer:_______________ |
| 3) Find the remainder using remainder theorem, when x3 - Tx2 - 12x + 3T is divided by x- T Remainder Answer:_______________ |
| 4) Find the remainder using remainder theorem, when 2x4+11x3 + 8x2 - 8x + 8 is divided by x - 1 Remainder Answer:_______________ |
| 5) Find the remainder using remainder theorem, when 3x3 + 2x2 - 3x + 7 is divided by x- 3 Remainder Answer:_______________ |
| 6) Find the remainder using remainder theorem, when x3 - Dx2 - 7x + 5D is divided by x- D Remainder Answer:_______________ |
| 7) Find the remainder using remainder theorem, when 6x4+13x3 + 6x2 - 5x + 4 is divided by x - 1 Remainder Answer:_______________ |
| 8) Find the remainder using remainder theorem, when 4x3 + 7x2 - 8x + 9 is divided by x- 3 Remainder Answer:_______________ |
| 9) Find the remainder using remainder theorem, when x3 - Px2 - 7x + 4P is divided by x- P Remainder Answer:_______________ |
| 10) Find the remainder using remainder theorem, when 3x4+9x3 + 7x2 - 9x + 3 is divided by x - 1 Remainder Answer:_______________ |
| 1) Find the remainder using remainder theorem, when 4x4+13x3 + 3x2 - 7x + 11 is divided by x - 1 Remainder Answer: 18 SOLUTION 1 : 4x4+13x3 - 3x2 - 7x + 11 is divided by x - 1 When P(x) is divided by x - 1, the remainder is P(1) p(1) = 4(1)4 + 13(1)3 - 3(1)2 - 7(1) + 11 =4 + 13 - 3 - 7 + 11 = 18 Remainder = 18 |
| 2) Find the remainder using remainder theorem, when 3x3 + 7x2 - 4x + 8 is divided by x- 3 Remainder Answer: 140 SOLUTION 1 : 3x3 + 7x2 - 4x + 8 is divided by x - 3 When P(x) is divided by x - 3, the remainder is P(3) p(3) = 3(3)3 + 7(3)2 - 4(3) + 8 = 3(27) + 7(9) - 4(3) + 8 = 81 + 63 - 12 + 8 = 140 Remainder = 140 |
| 3) Find the remainder using remainder theorem, when x3 - Kx2 - 12x + 3K is divided by x- K Remainder Answer: 9 SOLUTION 1 : x3 - Kx2 - 12x + 3K is divided by x- K K3 - K(K)2 - 12(K) + 3K
= - 12K + 3K Remainder = -9 |
| 4) Find the remainder using remainder theorem, when 2x4+11x3 + 8x2 - 8x + 8 is divided by x - 1 Remainder Answer: 5 SOLUTION 1 : 2x4+11x3 - 8x2 - 8x + 8 is divided by x - 1 When P(x) is divided by x - 1, the remainder is P(1) p(1) = 2(1)4 + 11(1)3 - 8(1)2 - 8(1) + 8 =2 + 11 - 8 - 8 + 8 = 5 Remainder = 5 |
| 5) Find the remainder using remainder theorem, when 3x3 + 2x2 - 3x + 7 is divided by x- 3 Remainder Answer: 97 SOLUTION 1 : 3x3 + 2x2 - 3x + 7 is divided by x - 3 When P(x) is divided by x - 3, the remainder is P(3) p(3) = 3(3)3 + 2(3)2 - 3(3) + 7 = 3(27) + 2(9) - 3(3) + 7 = 81 + 18 - 9 + 7 = 97 Remainder = 97 |
| 6) Find the remainder using remainder theorem, when x3 - Xx2 - 7x + 5X is divided by x- X Remainder Answer: 2 SOLUTION 1 : x3 - Xx2 - 7x + 5X is divided by x- X X3 - X(X)2 - 7(X) + 5X
= - 7X + 5X Remainder = -2 |
| 7) Find the remainder using remainder theorem, when 6x4+13x3 + 6x2 - 5x + 4 is divided by x - 1 Remainder Answer: 12 SOLUTION 1 : 6x4+13x3 - 6x2 - 5x + 4 is divided by x - 1 When P(x) is divided by x - 1, the remainder is P(1) p(1) = 6(1)4 + 13(1)3 - 6(1)2 - 5(1) + 4 =6 + 13 - 6 - 5 + 4 = 12 Remainder = 12 |
| 8) Find the remainder using remainder theorem, when 4x3 + 7x2 - 8x + 9 is divided by x- 3 Remainder Answer: 156 SOLUTION 1 : 4x3 + 7x2 - 8x + 9 is divided by x - 3 When P(x) is divided by x - 3, the remainder is P(3) p(3) = 4(3)3 + 7(3)2 - 8(3) + 9 = 4(27) + 7(9) - 8(3) + 9 = 108 + 63 - 24 + 9 = 156 Remainder = 156 |
| 9) Find the remainder using remainder theorem, when x3 - Yx2 - 7x + 4Y is divided by x- Y Remainder Answer: 3 SOLUTION 1 : x3 - Yx2 - 7x + 4Y is divided by x- Y Y3 - Y(Y)2 - 7(Y) + 4Y
= - 7Y + 4Y Remainder = -3 |
| 10) Find the remainder using remainder theorem, when 3x4+9x3 + 7x2 - 9x + 3 is divided by x - 1 Remainder Answer: -1 SOLUTION 1 : 3x4+9x3 - 7x2 - 9x + 3 is divided by x - 1 When P(x) is divided by x - 1, the remainder is P(1) p(1) = 3(1)4 + 9(1)3 - 7(1)2 - 9(1) + 3 =3 + 9 - 7 - 9 + 3 = -1 Remainder = -1 |