Question

a. (2x⁴ - x³ + 4x - 2) : (2x-1)

b. (2x³ - x² -5x - 2) : (x-2)

c. (-6a³ + a² + 26a – 21): (2a – 3)

d. (x⁴ - 3x² - 10x - 6) : (x² - 2x +3)

Answer 1

a: \(=\dfrac{x^3\left(2x-1\right)+2\left(2x-1\right)}{2x-1}=x^3+2\)

b: \(=\dfrac{2x^3-4x^2+3x^2-6x+x-2}{x-2}=2x^2+3x+1\)

d: \(=\dfrac{x^4-2x^3+3x^2+2x^3-4x^2+6x-x^2+2x-3}{x^2-2x+3}=x^2+2x-1\)