If the polynomial \(f(x) = 3x^{3} - 2x^{2} + 7x + 5\) is divided by (x - 1), find the remainder.
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Correct Answer: Option D
Explanation:
\(f(x) = 3x^{3} - 2x^{2} + 7x + 5\).
\(x - 1 = 0, x = 1\)
\(f(1) = 3(1)^{3} - 2(1)^{2} + 7(1) + 5 = 13\)
\(f(x) = 3x^{3} - 2x^{2} + 7x + 5\).
\(x - 1 = 0, x = 1\)
\(f(1) = 3(1)^{3} - 2(1)^{2} + 7(1) + 5 = 13\)