Question

Rozłóż wielomiany na czynniki ?

a) -12x^3 + 4x^2 + 9x -3 =

b) 5x^5 + 2x^4 + 10x^3 + 4x^2 =

Answer 1

Rozłóż wielomiany na czynniki ?

 

a) -12x^3 + 4x^2 + 9x -3 =

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

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

= (3x -1) (√3 -2x)(√3 +2x)

 

b) 5x^5 + 2x^4 + 10x^3 + 4x^2 =
= 5x^5 +10x^3 +2x^4 +4x^2=

= 5x^3*(x^2 +2) + 2x^2*(x^2 +2) =

= (x^2 +2)( 5x^3 +2x^2) =

= x^2*(x^2 +2)(5x +2)