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Answer :
Final answer:
To complete the synthetic division problem for -3 / 2 4 -4 6, we use synthetic division steps, and the quotient in polynomial form is 2x² - 2x + 2.
Explanation:
To complete the synthetic division problem given by -3 / 2 4 -4 6, we follow the steps of synthetic division by using -3 as the divisor and 2, 4, -4, 6 as the coefficients of the polynomial we're dividing. The process is as follows:
- Bring down the leading coefficient (2) to the bottom row.
- Multiply this number by the divisor (-3) and place the result under the next coefficient (4).
- Add the numbers in the second column to get the new number for the bottom row.
- Continue this process until all coefficients have been used.
The result is 2 4 -4 6.
2 -6 6 -6
----------------
2 -2 2 0
The quotient in polynomial form is 2x² - 2x + 2.
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