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Question 1. Asked on :12 January 2019:10:45:37 AM

 If the polynomials ax3+3x2-13 and 2x3-5x+a , are divided by x+2 if the remainder in each case is the same, then find the value of 'a'

-Added by Akki chauhan Mathematics » Polynomials

Answer:

Himanshi Verma

 When p(x) is divided by (x-2),


By remainder theorem,


Remainder= p(2)


p(2)=a*2^3 + 3*2^2 - 13


        =a*8+3*4-13


       =8a+12-13 = 8a-1



p(2) = 2*2^3-5*2+a


      =2*8-10+a


     =16-10+a = 6+a


Since the remainders of ax^3+3x^2-13 and 2x^3-5x+a are same when divided by x-2,


8a-1 = 6+a


8a-6+a=1


8a+8=1-6=-5


8a=-5-8 =-13


a=-13/8


Read more on Brainly.in - https://brainly.in/question/2484086#readmore

-Answered by Himanshi Verma On 20 January 2019:05:28:21 PM(929Average Rating Based on rating)

Answer:

Himanshi Verma

  When p(x) is divided by (x-2),


By remainder theorem,


Remainder= p(2)


p(2)=a*2^3 + 3*2^2 - 13


        =a*8+3*4-13


       =8a+12-13 = 8a-1



p(2) = 2*2^3-5*2+a


      =2*8-10+a


     =16-10+a = 6+a


Since the remainders of ax^3+3x^2-13 and 2x^3-5x+a are same when divided by x-2,


8a-1 = 6+a


8a-6+a=1


8a+8=1-6=-5


8a=-5-8 =-13


a=-13/8

-Answered by Himanshi Verma On 20 January 2019:05:29:25 PM(930Average Rating Based on rating)

Answer:

Master Purushottam

When p(x) is divided by (x-2),


By remainder theorem,


Remainder= p(2)


p(2)=a*2^3 + 3*2^2 - 13


        =a*8+3*4-13


       =8a+12-13 = 8a-1



p(2) = 2*2^3-5*2+a


      =2*8-10+a


     =16-10+a = 6+a


Since the remainders of ax^3+3x^2-13 and 2x^3-5x+a are same when divided by x-2,


8a-1 = 6+a


8a-6+a=1


8a+8=1-6=-5


8a=-5-8 =-13


a=-13/8


-Answered by Master Purushottam On 22 August 2019:09:12:19 PM(4315Average Rating Based on rating)

Answer:

Shivang Gupta

When p(x) is divided by (x-2),


By remainder theorem,


Remainder= p(2)


p(2)=a*2^3 + 3*2^2 - 13


        =a*8+3*4-13


       =8a+12-13 = 8a-1



p(2) = 2*2^3-5*2+a


      =2*8-10+a


     =16-10+a = 6+a


Since the remainders of ax^3+3x^2-13 and 2x^3-5x+a are same when divided by x-2,


8a-1 = 6+a


8a-6+a=1


8a+8=1-6=-5


8a=-5-8 =-13


a=-13/8

-Answered by Shivang Gupta On 25 August 2019:05:08:54 PM(6425Average Rating Based on rating)

 

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