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Question
Which polynomial is to be added to 4m + 2n + 3 to get the polynomial 6m + 3n + 10?
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Solution
The required polynomial can be obtained by subtracting the polynomial 4m + 2n + 3 from 6m + 3n + 10.
∴ Required polynomial
∴ (4m + 2n + 3) + p(a) = (6m + 3n + 10)
∴ p(a) = (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.
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