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Question

What is the remainder when n2+13n+2 is divided by (3n+5).

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Solution

Divident=n2+13n+2
Division=3n+5
3n+5)n2+13n+2(n/3+349
n2+5n3
___________________
34n3+2
34n3+1709
_______________________
1529
________________
Remainder=1529
Verifying by Remainder theorem
3n+5=0
n=5/3
Put n=5/3 in dividend
(5/3)2+13(5/3)+2
=259653+2
=25195+189
=195+439
=1529.

1181872_1300140_ans_6616987c04b84ae0a50d8422185c9a9b.jpg

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