Scroll:Algebra >> Using Remainder theorem >> saq (4171)


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 

x3 - Ox2 - 13x + 6O is divided by x- O 

 Remainder


Answer:_______________




2)  

 Find the remainder using remainder theorem, when 

x3 - Ax2 - 7x + 5A is divided by x- A 

 Remainder


Answer:_______________




3)  

 Find the remainder using remainder theorem, when 

x3 - Tx2 - 9x + 4T is divided by x- T 

 Remainder


Answer:_______________




4)  

 Find the remainder using remainder theorem, when 

x3 - Ox2 - 9x + 6O is divided by x- O 

 Remainder


Answer:_______________




5)  

 Find the remainder using remainder theorem, when 

x3 - Ax2 - 14x + 2A is divided by x- A 

 Remainder


Answer:_______________




6)  

 Find the remainder using remainder theorem, when 

x3 - Px2 - 13x + 6P is divided by x- P 

 Remainder


Answer:_______________




7)  

 Find the remainder using remainder theorem, when 

x3 - Fx2 - 7x + 3F is divided by x- F 

 Remainder


Answer:_______________




8)  

 Find the remainder using remainder theorem, when 

x3 - Ix2 - 12x + 3I is divided by x- I 

 Remainder


Answer:_______________




9)  

 Find the remainder using remainder theorem, when 

x3 - Mx2 - 9x + 3M is divided by x- M 

 Remainder


Answer:_______________




10)  

 Find the remainder using remainder theorem, when 

x3 - Cx2 - 10x + 6C is divided by x- C 

 Remainder


Answer:_______________




 

1)  

 Find the remainder using remainder theorem, when 

x3 - Px2 - 13x + 6P is divided by x- P 

 Remainder Answer: 7


SOLUTION 1 :

 x3 - Px- 13x + 6P is divided by x- P 

P3 - P(P)2 - 13(P) + 6P

P3 - P3 - 13P + 6P

= - 13P + 6P

Remainder = -7


2)  

 Find the remainder using remainder theorem, when 

x3 - Sx2 - 7x + 5S is divided by x- S 

 Remainder Answer: 2


SOLUTION 1 :

 x3 - Sx- 7x + 5S is divided by x- S 

S3 - S(S)2 - 7(S) + 5S

S3 - S3 - 7S + 5S

= - 7S + 5S

Remainder = -2


3)  

 Find the remainder using remainder theorem, when 

x3 - Tx2 - 9x + 4T is divided by x- T 

 Remainder Answer: 5


SOLUTION 1 :

 x3 - Tx- 9x + 4T is divided by x- T 

T3 - T(T)2 - 9(T) + 4T

T3 - T3 - 9T + 4T

= - 9T + 4T

Remainder = -5


4)  

 Find the remainder using remainder theorem, when 

x3 - Zx2 - 9x + 6Z is divided by x- Z 

 Remainder Answer: 3


SOLUTION 1 :

 x3 - Zx- 9x + 6Z is divided by x- Z 

Z3 - Z(Z)2 - 9(Z) + 6Z

Z3 - Z3 - 9Z + 6Z

= - 9Z + 6Z

Remainder = -3


5)  

 Find the remainder using remainder theorem, when 

x3 - Ox2 - 14x + 2O is divided by x- O 

 Remainder Answer: 12


SOLUTION 1 :

 x3 - Ox- 14x + 2O is divided by x- O 

O3 - O(O)2 - 14(O) + 2O

O3 - O3 - 14O + 2O

= - 14O + 2O

Remainder = -12


6)  

 Find the remainder using remainder theorem, when 

x3 - Px2 - 13x + 6P is divided by x- P 

 Remainder Answer: 7


SOLUTION 1 :

 x3 - Px- 13x + 6P is divided by x- P 

P3 - P(P)2 - 13(P) + 6P

P3 - P3 - 13P + 6P

= - 13P + 6P

Remainder = -7


7)  

 Find the remainder using remainder theorem, when 

x3 - Qx2 - 7x + 3Q is divided by x- Q 

 Remainder Answer: 4


SOLUTION 1 :

 x3 - Qx- 7x + 3Q is divided by x- Q 

Q3 - Q(Q)2 - 7(Q) + 3Q

Q3 - Q3 - 7Q + 3Q

= - 7Q + 3Q

Remainder = -4


8)  

 Find the remainder using remainder theorem, when 

x3 - Sx2 - 12x + 3S is divided by x- S 

 Remainder Answer: 9


SOLUTION 1 :

 x3 - Sx- 12x + 3S is divided by x- S 

S3 - S(S)2 - 12(S) + 3S

S3 - S3 - 12S + 3S

= - 12S + 3S

Remainder = -9


9)  

 Find the remainder using remainder theorem, when 

x3 - Ix2 - 9x + 3I is divided by x- I 

 Remainder Answer: 6


SOLUTION 1 :

 x3 - Ix- 9x + 3I is divided by x- I 

I3 - I(I)2 - 9(I) + 3I

I3 - I3 - 9I + 3I

= - 9I + 3I

Remainder = -6


10)  

 Find the remainder using remainder theorem, when 

x3 - Xx2 - 10x + 6X is divided by x- X 

 Remainder Answer: 4


SOLUTION 1 :

 x3 - Xx- 10x + 6X is divided by x- X 

X3 - X(X)2 - 10(X) + 6X

X3 - X3 - 10X + 6X

= - 10X + 6X

Remainder = -4