Your question is incomplete i think your question is this
If the polynomial 2x^3+ax^2+3x-5 and x^3+x^2-2x+a leave the same remainder when divided by x-2,find the value of a?
Or this type of question can be done in this way
Let p ( x ) = 2x^3 + ax^2 + 3x - 5
q ( x ) = x^3 + x^2 - 2x + a
Using remainder theorem,.
P ( 2 ) will be the remainder when p ( x ) is divided by x - 2
So
p ( 2 ) = 2x^3 + ax^2 + 3x - 5
= 2 ( 2 )^3 + a( 2 )^2 + 3 ( 2 ) - 5
= 2 × 8 + 4a + 6 - 5
= 4a + 16 + 1
= 4a + 17
Similarly q ( 2 ) will be the remainder when q ( x ) is divided by x - 2 .
q ( 2 ) = x^3 + x^2 - 2x + a
= ( 2 )^3 + ( 2 )^2 - 2 ( 2 ) + a
= 8 + 4 - 4 + a
= a + 8
Two remainders are equal so we get equation,
4a + 17 = a + 8
》4a - a = - 17 + 8
》3a = - 9
》a = - 9/3
》a = - 3