Ausdrücke in ein Produkt von Polynomen zerlegen

Question

X^4 + x^2 +1

X^4 +4

X^4 - 7x^2 +1

Danke

Answer 1

x^4+x^2+1=(x^2-x+1)(x^2+x+1)

x^4+4=(x^2-2x+2)(x^2+2x+2)

x^4-7x^2+1=(x^2-3x+1)(x^2+3x+1)

Answer 2

X⁴ + x² +1 =(x²+x+1)(x²-x+1)

X⁴ +4  = (x²-2x+2)(x²+2x+1)

X⁴ - 7x² +1 = (x²+3x+1)(x²-3x+1)