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Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

A.
2x3 + 3x2 + 9x + 7
B.
2x4 + 3x3 + 9x2 + 7x
C.
2x4 + 3x2 − 11x − 54
D.
2x3 + 3x2 − 11x − 54


Sagot :

The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

How to solve the division?

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

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