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Find all zeros of f x x 4x 3x 2 Enter the zeros separated by...

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Algebra

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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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