SOLUTION: 3x^3-7x^2-43x+15
find all complex zeroes of the given polynomial function, and write the polynomial in completely factored form
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Question 763522: 3x^3-7x^2-43x+15
find all complex zeroes of the given polynomial function, and write the polynomial in completely factored form
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Your possible values to check according to Rational Roots Theorem with synthetic division are PLUS AND MINUS OF these: { 5/3, 1/3, 5, 3, 1 }.
Greatly abbreviating the process here, You may find something about like this:
Checking 5, remainder 0, quotient .
Checking -3, remainder 0, quotient .
The polynomial in factored form is .
The next zero based on the last binomial factor is +, so the three roots or zeros are , , .
These are all Real zeros. They are also Complex zeros for which the imaginary compenents are zero.
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