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Question
The polynomial P(x) = 4x3+7x2â5x+t, when divided by x + 1 gives 3 as the remainder. Find the value of âtâ.
The polynomial P(x) = 4x3+7x2â5x+t, when divided by x + 1 gives 3 as the remainder. Find the value of âtâ.
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Solution
The correct option is C -5
The remainder when P(x) is divided by x + 1 is 3, which simply means that P(-1) = 3, so upon solving we get 4(−1)3+7(−1)2+5(−1)+t=3,
−4+7−5+t=3
Hence, t=−5
-5
The remainder when P(x) is divided by x + 1 is 3, which simply means that P(-1) = 3, so upon solving we get 4(−1)3+7(−1)2+5(−1)+t=3,
−4+7−5+t=3
Hence, t=−5
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