Question

Which polynomial should be added in 3x³-2x²+3 to get the polynomial 3x²+4?

Answer 1

The given polynomial is 3x³-2x²+3
We need to get 3x²+4 .

CinsiCon the first term 3x³.
To avoid 3x³, add (-3x³) to the polynomial.

Now consider (-2x²).
We need to convert that to 3x².
So we need to add 5x² to make it 3x².
Ie,
3x²-(-2x²)= 5x²
This 5x² should be there in the polynomial.

Now +3 should be converted to +4.
So we need to add +1 .

So combining all the terms, we get
= -3x³+5x²+1

This polynomial should be added to 3x³-2x²+3 to make it 3x²+4

Ie,
(3x³-2x²+3) + (-3x³+5x²+1) = 3x²+4