Question

a) x³ - 4x² + x + 6 = ...

b) x³ - 2x² - 5x + 6 = ...

c) x³ + 2x² - 5x - 6 = ...

d) x³ - 6x² + 11x - 6 = ...

Answer 1

a) x³ - 4x² + x + 6 = (x-2)(x²-2x-3) = (x-2)(x-3)(x+1)

b) x³ - 2x² - 5x + 6 = (x-1)(x²-x-6)=(x-1)(x-3)(x+2)

c) x³ + 2x² - 5x - 6 = (x-2)(x²+4x+3) = (x-2)(x+3)(x+1)

 

 

d) x³ - 6x² + 11x - 6 = (x-1)(x²-5x+6) = (x-1)(x-3)(x-2)