Given:
Dividend =
Divisor =
To find:
The remainder by using the synthetic division.
Solution:
We have,
Dividend =
The coefficients of dividend are 2, 5, -3. Write these elements in the top row of synthetic division.
Divisor =
The value of divisor is 0 at . So, write -3 on the left side of division.
Write down the first coefficient of dividend in bottom row, then multiply it by -3 and write the result below the next coefficient of dividend then add the coefficient and write the result in bottom row, then repeat the steps up-to last coefficient.
-3 | 2 5 -3
| -6 3
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2 -1 0
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Here, the first two elements of the bottom row represent the coefficient of quotient and last element represent the remainder.
Therefore, the remainder is 0.