Final answer:
To divide (2x³ - 2x - 12) by (x - 2), you can use long division. The quotient is equal to 2x² + 4x - 6.
Step-by-step explanation:
To find the quotient using division, we divide the polynomial (2x³ - 2x - 12) by the binomial (x - 2). We can use long division to solve this:
2x² + 4x - 6 ______________________ (x - 2) | 2x³ - 2x - 12 - (2x³ - 4x²) 2x² - 2x - (2x² - 4x) 2x - (2x - 12) -12
The quotient is equal to 2x² + 4x - 6.
Learn more about Dividing polynomials