Odpowiedź:
Szczegółowe wyjaśnienie:
a) w(x) = 12x⁶ - 48x⁴ = 12x⁴( x² - 1) = 12x⁴(x-1)(x+1)
b) p(x) = 5x³ - 5x = 5x(x² - 1) = 5x(x -1)(x + 1)
c) q(x) = [tex]\frac{1}{2}x^{5}[/tex] [tex]-\frac{1}{8}x^{3}[/tex] = [tex]\frac{1}{2}x^{3}[/tex](x²[tex]-\frac{1}{4}[/tex]) = [tex]\frac{1}{2}x^{3}[/tex](x [tex]-\frac{1}{2}[/tex])(x + [tex]\frac{1}{2}[/tex])
d) v(x) = -x² + 36 = -(x - 6)(x+6) = (-x + 6)(x+6)
e) u(x) = - 2x¹⁰ + 50x⁸ = -2x⁸(x² - 25) = -2x⁸(x - 5)(x + 5)
f) r(x) = 4x³ - 8x² + 4x = 4x(x² - 2x + 1) = 4x(x - 1)² = 4x(x-1)(x-1)
g) f(x) = -2x⁴ - 12x³ - 18x² = -2x²(x² + 6x + 9) = -2x²(x + 3)² = - 2x²(x+3)(x+3)
