Question

Rozłóż na czynniki wielomian.
W(x) = x⁴-18x²+81

Answer 1

W(x) = x⁴-18x²+81
podstawienie x²=t

W(x) = t²-18t+81
W(x) = (t-9)²
W(x) = (t-9)(t-9)
W(x) = (x²-9)(x²-9)
W(x) = (x-3)(x+3)(x-3)(x+3)
W(x) = (x+3)²(x-3)²