Question

What must be subtracted from x^4+3x^3+4x^2+3x-6 to get 3x^3+4x^2-x+3

Answer 1

The answer is 9-x^4+3
& this answer is verified by me..
No chances of being wrong for this one....

Answer 2

Hey there !!!!

Let the polynomial which must be subtracted from x⁴+3x³+4x²-3x-6 to get  
3x³+4x²-x+3 be "P".

So according to question :

 x⁴+3x³+4x²-3x-6  - (P) = 3x³+4x²-x+3

(P) = x⁴+3x³+4x²-3x-6 -(3x³+4x²-x+3)

P =  x⁴+3x³+4x²-3x-6-3x³-4x²+x-3

P=x⁴+3x³-3x³+4x²-4x²-3x+x-6-3

P=x⁴-2x-9

So x⁴-2x-9 must be subtracted from x⁴+3x³+4x²-3x-6 to get 3x³+4x²-x+3.

Hope this helped you.........