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Find all zeros of f(x) = x - 4x + 3x + 2. Enter the zeros separated by commas. Enter exact value, not decimal

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Find all zeros of f(x) = x - 4x + 3x + 2. Enter the zeros separated by commas. Enter exact value, not decimal approximations. To receive credit for this question, the following steps must be presented in the solution: - Step 1: List all potential rational zeros of the function using Rational Zero Theorem. Step 2: Use the remainder theorem to determine whether the potential rational zeros are roots of the function. If the remainder is 0, the candidate is a zero. If the remainder is not 0, discard the candidate. - Step 3: Divide the polynomial function by the root obtained in the step 2 using synthetic division or long division. A quotient will be drived at this step. - Step 4: If the quotient is a quadratic, go to the step 5. If the quotient is not a quadratic, repeat the steps 2 & 3 until the quotient is a quadratic. - Step 5: Use the quotient to find the remaining zeros by factoring or the quadratic formula.

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