Question

Which polynomial is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10?

Answer 1

The required polynomial can be obtained by subtracting the polynomial 4m + 2n + 3 from 6m + 3n + 10.

∴ Required polynomial

= (6m + 3n + 10) − (4m + 2n + 3)

= 6m + 3n + 10 − 4m − 2n − 3

= 6m − 4m + 3n − 2n + 10 − 3

= 2m + n + 7

Thus, the polynomial 2m + n + 7 is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10.