Using remainder theorem, find the reminder when 3x2+x+7 is divided by x+2
17
9
12
22
A
22
B
17
C
12
D
9
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Solution
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Let f(x)=3x2+x+7 and g(x)=x+2 =>x+2=0 =>x=−2 The remainder when f(x) is divided by g(x) is f(−2) (By Remainder Theorem) Thus, f(−2)=3(−2)2+(−2)+7 =12−2+7 =17
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