Learn Using Synthetic Division Find X4 2 X 1
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Using synthetic division, find (x4 - 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

       x4   x3   x2  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 (x4 - 2) ÷ (x + 1).

Summary:

Using synthetic division, (x4 - 2) ÷ (x + 1).is (x³ - x² + x - 1) and remainder is -1.

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