Question

Rozłóż wielomian na czynniki a) W(x) = (4x+1) do kwadratu - 9x do kwadraty b) W (x) = x do sześcianu - 3x do kwadratu - 4x +12 PILNE !!!!!!!!

Answer 1

a)w(x)=(4x+1)^2-9x^2=16x^2+8x+1-9x^2=7x^2+8x+1=(x+1/7)*(x+1)

 

 

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

 

Answer 2

a) W(x)=(4x+1)^2-9x^2

    W(x)=16x^2+8x+1-9x^2

    W(x)=7x^2+8x+1

       Δ=64-28=36

       x1=(-8+6)/14=-1/7

       x2=(-8-6)/14=-1

    W(x)=(x+1)(x+1/7)

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

    W(x)=x^2(x-3)-4(x-3)

    W(x)=(x-3)(x^2-4)

    W(x)=(x-3)(x-2)(x+2)

Proszę o naj:)