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 quotient and remainder of the following division (5x3-8x2+5x-7 ) ÷ ( x-1) Remainder = Answer:_______________ |
| 2) Find the quotient and remainder of the following division (2x2-3x-14) ÷ (x+2) Remainder = Answer:_______________ |
| 3) Find the quotient and remainder of the following division (4x3 -2x2 +6x +7) ÷ (3 + 2x) Remainder = Answer:_______________ |
| 4) Find the quotient and remainder of the following division (9 + 4x + 5x2 + 3x3) ÷ (x+2) Remainder = Answer:_______________ |
| 5) Find the quotient and remainder of the following division (18 -9x -7x2) ÷ (x -2) Remainder = Answer:_______________ |
| 6) Find the quotient and remainder of the following division (5x3-8x2+5x-7 ) ÷ ( x-1) Remainder = Answer:_______________ |
| 7) Find the quotient and remainder of the following division (2x2-3x-14) ÷ (x+2) Remainder = Answer:_______________ |
| 8) Find the quotient and remainder of the following division (4x3 -2x2 +6x +7) ÷ (3 + 2x) Remainder = Answer:_______________ |
| 9) Find the quotient and remainder of the following division (9 + 4x + 5x2 + 3x3) ÷ (x+2) Remainder = Answer:_______________ |
| 10) Find the quotient and remainder of the following division (18 -9x -7x2) ÷ (x -2) Remainder = Answer:_______________ |
| 1) Find the quotient and remainder of the following division (5x3-8x2+5x-7 ) ÷ ( x-1) Remainder = Answer: -5 SOLUTION 1 : x -1 5x2 - 3x + 2 5x3 - 8x2 + 5x - 7 5x3 - 5x2 - 3x2 + 5x - 3x2 + 3x 2x - 7 2x - 2 - 5 (-) (+) (+) (-) (-) (+) Quotin1 = 5x2 - 3x +2 Remainder = -5 |
| 2) Find the quotient and remainder of the following division (2x2-3x-14) ÷ (x+2) Remainder = Answer: 0 SOLUTION 1 : x+2 2x-7 2x2 -3x -14 2x2 + 4x - 7x - 14 - 7x - 14 0 0 (-) (-) (+) (+) Quotient = 2x-7 Remainder = 0 |
| 3) Find the quotient and remainder of the following division (4x3 -2x2 +6x +7) ÷ (3 + 2x) Remainder = Answer: -20 SOLUTION 1 : Let us first write the terms of each polynomial in ascending order Thus the given problem becomes (4x3 -2x2 +6x +7) ÷ (2x+3) 2x+3 2x2 - 4x + 9 4x3 -2x2 + 6x + 7 4x3 + 6x2 -8x2 + 6x - 8x2 - 12x 18x + 7 18x + 27 - 20 (-) (-) (+) (+) (-) (-) Quotient = 2x2 - 4x + 9 Remainder = -20 |
| 4) Find the quotient and remainder of the following division (9 + 4x + 5x2 + 3x3) ÷ (x+2) Remainder = Answer: 7 SOLUTION 1 : Let us first write the terms of each polynomial in ascending order Thus the given problem becomes (3x3 +5x2 +4x +9) ÷ (x+1) x+1 3x2 + 2x +2 3x3 + 5x2 + 4x + 9 3x3 + 3x2 2x2 + 4x 2x2 + 2x 2x + 9 2x + 2 7 (-) (-) (-) (-) (-) (-) Quotient = 3x2 + 2x +2 Remainder = 7 |
| 5) Find the quotient and remainder of the following division (18 -9x -7x2) ÷ (x -2) Remainder = Answer: -28 SOLUTION 1 : Let us first write the terms of each polynomial in ascending order Thus the given problem becomes (-7x2 -9x +18) ÷ (x -2) x -2 -7x - 23 - 7x2 - 9x + 18 -7x2 + 14x - 23x + 18 - 23x + 46 -28 (+) (-) (+) (-) Quotient = -7x -23 remainder = -28 |
| 6) Find the quotient and remainder of the following division (5x3-8x2+5x-7 ) ÷ ( x-1) Remainder = Answer: -5 SOLUTION 1 : x -1 5x2 - 3x + 2 5x3 - 8x2 + 5x - 7 5x3 - 5x2 - 3x2 + 5x - 3x2 + 3x 2x - 7 2x - 2 - 5 (-) (+) (+) (-) (-) (+) Quotin1 = 5x2 - 3x +2 Remainder = -5 |
| 7) Find the quotient and remainder of the following division (2x2-3x-14) ÷ (x+2) Remainder = Answer: 0 SOLUTION 1 : x+2 2x-7 2x2 -3x -14 2x2 + 4x - 7x - 14 - 7x - 14 0 0 (-) (-) (+) (+) Quotient = 2x-7 Remainder = 0 |
| 8) Find the quotient and remainder of the following division (4x3 -2x2 +6x +7) ÷ (3 + 2x) Remainder = Answer: -20 SOLUTION 1 : Let us first write the terms of each polynomial in ascending order Thus the given problem becomes (4x3 -2x2 +6x +7) ÷ (2x+3) 2x+3 2x2 - 4x + 9 4x3 -2x2 + 6x + 7 4x3 + 6x2 -8x2 + 6x - 8x2 - 12x 18x + 7 18x + 27 - 20 (-) (-) (+) (+) (-) (-) Quotient = 2x2 - 4x + 9 Remainder = -20 |
| 9) Find the quotient and remainder of the following division (9 + 4x + 5x2 + 3x3) ÷ (x+2) Remainder = Answer: 7 SOLUTION 1 : Let us first write the terms of each polynomial in ascending order Thus the given problem becomes (3x3 +5x2 +4x +9) ÷ (x+1) x+1 3x2 + 2x +2 3x3 + 5x2 + 4x + 9 3x3 + 3x2 2x2 + 4x 2x2 + 2x 2x + 9 2x + 2 7 (-) (-) (-) (-) (-) (-) Quotient = 3x2 + 2x +2 Remainder = 7 |
| 10) Find the quotient and remainder of the following division (18 -9x -7x2) ÷ (x -2) Remainder = Answer: -28 SOLUTION 1 : Let us first write the terms of each polynomial in ascending order Thus the given problem becomes (-7x2 -9x +18) ÷ (x -2) x -2 -7x - 23 - 7x2 - 9x + 18 -7x2 + 14x - 23x + 18 - 23x + 46 -28 (+) (-) (+) (-) Quotient = -7x -23 remainder = -28 |