1.

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

Answer»

Let the required polynomial be A. 

∴ (4m + 2n + 3) + A = 6m + 3n + 10 

∴ A = 6m + 3n + 10 – (4m + 2n + 3) 

= 6m + 3n + 10 – 4m – 2n – 3 

= 6m – 4m + 3n – 2n + 10 – 3 

= 2m + n + 7 

∴ 2m + n + 7 must be added to 4m + 2n + 3 to get 6m + 3n + 10



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