Problem

If \( (X-2) \) is one factor of the factors of the expression \( X^{2}+X-6 \) then the other factor is ........

Answer

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Answer

\((X - 2)\cdot (X + 3)\)

Steps

Step 1 :\(X^2 + X - 6 = (X - 2) \cdot (A \cdot X + B)\)

Step 2 :Divide \(X^2 + X - 6\) by \(X - 2\) to find the values of A and B

Step 3 :\((X - 2)\cdot (X + 3)\)

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