Question

Rozłóż wielomian na czynniki:

-9=

-16x=

-8=

+4=

-9x=

Answer 1

x^4 - 9 = ( x^2 - 3)*(x^2 + 3) = (x - p(3))*( x + p(3))*( x^2 + 3)

x^5 - 16x = x*( x^4 - 16) = x*(x^2 - 4)*(x^2 + 4) = x*((x -2)*(x +2)*(x^2 + 4)

x^3 - 8 = x^3 - 2^3 =  ( x - 2)*(x^2  + 2x + 4)

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

x^3 - 9 x = x*( x^2  - 9) = x*(x -3)*(x + 3)

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p(3)  - pierwiastek kwadratowy z  3