The remainder is _________ , when p(x) = x2 + 3x -5 is divided by g(x) = x - 1.
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Given, polynomial is (x3 + 7)(3 - x3 )
Now, (x3 + 7)(3 - x3 ) = x3 (3 - x3 ) - 7(3 - x3 )
= 3x3 - x6 - 21 + 7x3
= -x6 + 10x3 - 21
Hence, the degree of (x3 + 7)(3 - x3 ) is 6
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