Question

what polynomial could you subtract from 5x^3-12x-x^2+9-12x^5-6x^4 to give a difference of 19+8x^3-18x-19x^5-2x^2-8x^4 ???

Answer 1

Given polynomial is:

`-12x^(5)-6 x^(4)+5 x^(3)-x^(2)-12x+9` ..... Lets say it is "a"

We have to subtract a polynomial from this above one, to get the answer as:

`-19x^(5)-8x^(4)+8x^(3)-2x^(2)-18x+19` ..... Lets say it is "c"

Lets say we have to subtract "b" so we have :
`a-b=c` or we can say
`a-c=b`

So, we will subtract "c" from "a" and get:

`7x^(5)+2x^(4)-3x^(3)+x^(2)+6x-10`

Hence, this is the answer.