Question
Find all zeros of f(x) = x +9x + 21x + 5. Enter the zeros separated by commas. Enter exact value, not decimal approximations.
Find all zeros of f(x) = x +9x + 21x + 5. 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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