Using synthetic division, what is the quotient (2x³ - 2x - 12) ÷ (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 (2x³ - 2x - 12) ÷ (x - 2)

Using synthetic division

Therefore, the quotient is 2x² + 4x + 6.

Using synthetic division, what is the quotient (2x³ - 2x - 12) ÷ (x - 2)?

Summary:

Using  synthetic division, the quotient of (2x³ - 2x - 12) ÷ (x - 2) is 2x² + 4x + 6.