Let f(x) = x 4 + x 3 − 6x 2 + x + 3. Calculate f(−3). (Please be sure you can do this without a calculator!) Given that it is possible to write f(x) = (x + 3)q(x) + r for some polynomial q(x) and some real number r, what does the result of your calculation tell you about r? Find q(x).
Let f(x) = x 4 + x 3 − 6x 2 + x + 3. Calculate f(−3). (Please be sure you can do this without a calculator!) Given that it is possible to write f(x) = (x + 3)q(x) + r for some polynomial q(x) and some real number r, what does the result of your calculation tell you about r? Find q(x).
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 24SE: For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial...
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Let f(x) = x 4 + x 3 − 6x 2 + x + 3. Calculate f(−3). (Please be sure you can do this without a calculator!) Given that it is possible to write f(x) = (x + 3)q(x) + r for some polynomial q(x) and some real number r, what does the result of your calculation tell you about r? Find q(x).
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