Question 15 - 11th Grade Mathematics: Algebra Practice Test for the SBAC

The polynomial \(x^3 +jx^{2}+kx +5\) leaves a remainder of \(15\) when divided by the factor \(x-2\) and a remainder of \(9\) when divided by the factor \(x+1\). What are the values of \(j\) and \(k\)?

\(j = -2\); \(k = 2\)
\(j = -2\); \(k = 3\)
\(j = 2\); \(k = -3\)
\(j = 3\); \(k = -2\)

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