Q15 of 84 Page 55

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

Let the polynomial to be added be am + bn + c

6m + 3n + 10 = (4m + 2n + 3) + (am + bn + c)


(am + bn + c) = (6m + 3n + 10) - (4m + 2n + 3)


= (6-4) m + (3-2) n + (10-3)


= 2m + n + 7


Therefore, the polynomial to be added to 4m + 2n + 3 is 2m + n + 7.


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