Q. 153.9( 14 Votes )
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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At the end of the year 2016, the population of villages Kovad, Varud, Chikhali is 5x2 – 3y2, 7y2 + 2xy and 9x2 + 4xy respectively. At the beginning of the year 2017, x2 + xy – y2,5xy and 3x2 + xy persons from each of the three villages respectively went to another village for education then what is the remaining total population of these three villages?MHB - Math Part-I