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Question
Find the value of ‘t’ for which the polynomial P(x) = x3+3x2+2x+t gives 3 as remainder when divided by( x – 1).
Find the value of ‘t’ for which the polynomial P(x) = x3+3x2+2x+t gives 3 as remainder when divided by( x – 1).
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Solution
The correct option is B -3
The remainder when P(x) is divided by x – 1 is 3 which means that P(1) = 3, so P(1) = (1)3+3(1)2+2(1)+t=3
1+3+2+t=3
Or, t = -3.
-3
The remainder when P(x) is divided by x – 1 is 3 which means that P(1) = 3, so P(1) = (1)3+3(1)2+2(1)+t=3
1+3+2+t=3
Or, t = -3.
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