Find the value of ‘t’ for which the polynomial, p(x)=x3+3x2+2x+t gives 3 as remainder when divided by (x–1).
A
-3
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B
-5
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C
-4
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D
-2
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Solution
The correct option is A -3 Using remainder theorem, the remainder when p(x) is divided by (x−1) is p(1).
The remainder is given to be equal to 3. ∴p(1)=3 (1)3+3×(1)2+2(1)+t=3 1+3+2+t=3 t=−3