Question

Descompueti in factori expresia; xla puterea5+x+1

Answer 1

Răspuns

(x³-x²+1)(x²+x+1)

Explicație pas cu pas:

Se face un artificiu de calcul:

x⁵+x+1= (x⁵-x⁴+x²)+(x⁴-x³+x)+(x³-x²+1)= x²(x³-x²+1)+x(x³-x²+1)+(x³-x²+1)=

(x³-x²+1)(x²+x+1)