Problem

Find the roots of the function \(f(x) = 2x^2 + 3x - 2\).

Answer

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Answer

Step 3: Set each factor equal to zero and solve for \(x\), \(2x - 1 = 0\) and \(x + 2 = 0\).

Steps

Step 1 ：Step 1: Set the function equal to zero, \(2x^2 + 3x - 2 = 0\).

Step 2 ：Step 2: Factor the quadratic equation, \((2x - 1)(x + 2) = 0\).

Step 3 ：Step 3: Set each factor equal to zero and solve for \(x\), \(2x - 1 = 0\) and \(x + 2 = 0\).

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