# Using synthetic division, what is the quotient (2x^{3} + 3x - 22) ÷ (x - 2)?

**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.

We have to find the quotient when (2x^{3} + 3x - 22) ÷ (x - 2)

Using the synthetic division method

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Therefore, the quotient is 2x^{2} + 4x + 11.

## Using synthetic division, what is the quotient (2x^{3} + 3x - 22) ÷ (x - 2)?

**Summary:**

Using synthetic division, the quotient of (2x^{3} + 3x - 22) ÷ (x - 2) is 2x^{2} + 4x + 11.

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