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**Unformatted text preview: **6-x 5 + 2 x 4 + 3 x 3 + x 2-4 x-17 by x 3-2 x 2 + 3 x-3. ( x 3 + x 2 + x + 5 remainder 11 x 2-16 x-2) 9. Find a maximum for the roots of: x 4-3 x 3 + x 2 + 4 x-17 Here 3 would work as a maximum, -2 would work as a minimum. Why is that? When you divide by x-a and get all positive coecitents (all negative) then a is higher or equal to all your roots. When you divide by x-a and get alternating coecients then a is smaller or equal to all your roots....

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