Question

Rozłóż na czynniki wielomiany:

a) x^3-x^2-4x+4

b) x^5+3x^4-4x^3-12x^2

Answer 1

a)   x^3-x^2-4x+4 = x^2(x-1)-4(x-1) = (x-1)(x^2-4) = (x-1)(x+2)(x-2)

 

b)   x^5+3x^4-4x^3-12x^2 = x^4(x+3)-4x^2(x+3) = (x+3)(x^4-4x^2) = (x+3)(x^2+2x)(x^2-2x)