Solve (18x⁵ + 6x⁴ - 12x³) ÷ 6x²

Solution:

Given expression is of the type f(x) ÷ g(x)

We have to perform the division of polynomials.

(18x⁵ + 6x⁴ - 12x³) ÷ 6x²

= (18x⁵)/6x² + (6x⁴)/6x² - (12x³)/6x²

= 3x³ + x² - 2x

Let's Take another example of the same kind:

(20x³y + 12x²y² - 10xy ) ÷ 2xy

20x³y/2xy + 12x²y²/2xy - 10xy/2xy

10x² + 6xy - 10

Solve (18x⁵ + 6x⁴ - 12x³) ÷ 6x²

Summary:

Solving (18x⁵ + 6x⁴ - 12x³) ÷ 6x², we get 3x³ + x² - 2x