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# Using synthetic division, find (x^{4} - 2) ÷ (x + 1).

**Solution:**

Synthetic division is a method used to perform the division operation on polynomials when the divisor is a linear factor.

One of the advantages of using this method over the traditional long method is that the synthetic division allows one to calculate without writing variables while performing the polynomial division, which also makes it an

easier method in comparison to the long division.

x + 1 = 0

x = -1

Listing the __coefficients__ only we have

x^{4} x^{3} x^{2} x

-1 1 0 0 0 -2

__ -1 1 -1 +1__

1 -1 1 -1 -1

Therefore the result of __division__ is (x³ - x² + x - 1) and remainder is -1.

## Using synthetic division, find (x^{4} - 2) ÷ (x + 1).

**Summary:**

Using synthetic division, (x^{4} - 2) ÷ (x + 1).is (x³ - x² + x - 1) and remainder is -1.

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