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8. This example is very similar to the one I did in lecture, but will have a couple of additional steps. Be sure you have

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8. This example is very similar to the one I did in lecture, but will have a couple of additional steps. Be sure you have finished this week's lesson before completing this problem. f(x) = x5-6x4+ 11x3- x2- 14x + 5; given factors (2 - i) and (2 + i) Steps: 1. Use synthetic division twice to factor (2 - i) and (2 + i) out of the 5th degree polynomial. This will leave you with a 3d degree polynomial. 2. Use the Rational Zeros Test on the 3"d degree polynomial and write all the possible rational zeros. Then, determine which one of the possible rational zeros is actually a zero for this 3d degree polynomial. 3. Use synthetic division or long division (your choice) to divide out the zero you found in #2. 4. Use the quadratic formula to find the two remaining factors. 5. Write all the zeros of this function. There will be 5

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