Rozłóż wielomian w na czynniki

[oholipka]

Rozłóż wielomian w na czynniki.Bardzo proszę o pomoc.

a) \(\displaystyle{ w(x)}\) =\(\displaystyle{ 3x^4}\) - \(\displaystyle{ 3x^2}\)
b) \(\displaystyle{ w (x)}\) =\(\displaystyle{ x^6}\) + \(\displaystyle{ 7x^5}\) + \(\displaystyle{ 6x^4}\)

[Wicio]

a)
\(\displaystyle{ w(x)=3x^{2}(x^{2}-1)=3x^{2}(x-1)(x+1)}\)

[mmoonniiaa]

b)
\(\displaystyle{ W(x)=x^4(x^2+7x+6)=x^4(x+6)(x+1)}\)

[Wicio]

\(\displaystyle{ W(x)=x^4(x^2+7x+6)}\)

\(\displaystyle{ \Delta=49-24=25}\)
\(\displaystyle{ \sqrt{\Delta}=5}\)

\(\displaystyle{ x_{1}= \frac{-7-5}{2}=-6}\)
\(\displaystyle{ x_{2}= \frac{-7+5}{2}=-1}\)

\(\displaystyle{ W(x)=x^4(x^2+7x+6)=x^{4}(x+1)(x+6)}\)