Use synthetic division to divide. (3x^2-7)/(x-2) (3x^2-7)/(x-2)= square

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Answer 1

To use synthetic division to divide

, we first need to set up the synthetic division. The divisor is

as the number for synthetic division.Here are the steps:1. Write down the coefficients of the dividend

. Since there is no

term, we include a coefficient of

:

2. Write

to the left and draw a line:

3. Bring down the first coefficient (3):

4. Multiply

by the value just written below the line (3), and write the result under the next coefficient:

5. Add the column of numbers:

The bottom row gives us the coefficients of the quotient polynomial and the remainder. The quotient is

and the remainder is

.So, the result of the division is:

Thus, the final answer is:

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