Problem

Factor the following expression.
\[
2 x^{2}-7 x+6
\]

Answer

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Answer

\(\boxed{(x - 2)(2x - 3)}\)

Steps

Step 1 :The given expression is a quadratic equation of the form \(ax^2 + bx + c\).

Step 2 :To factorize it, we need to find two numbers such that their sum is equal to the coefficient of x (which is -7 in this case) and their product is equal to the constant term (which is 6 in this case).

Step 3 :The factored form of the given expression is \((x - 2)(2x - 3)\)

Step 4 :\(\boxed{(x - 2)(2x - 3)}\)

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