Question

Phân tích đa thức thành nhân tử :  x^4 – x^3 – x + 1

Answer 1

\(x^4-x^3-x+1=\left(x^4-x^3\right)-\left(x-1\right)=x^3\left(x-1\right)-\left(x-1\right)=\left(x^3-1\right)\left(x-1\right)=\left(x-1\right)^2.\left(x^2+x+1\right)\)

Answer 2

x⁴ - x³ - x + 1

= (x⁴ - x³) - (x - 1)

= x³(x - 1) - (x - 1)

= (x³ - 1)(x - 1)

Answer 3

Answer 4

\(x^4-x^3-x+1\)

\(=x^3\left(x-1\right)-\left(x-1\right)\)

\(=\left(x-1\right)\left(x^3-1\right)\)

\(=\left(x-1\right)^2\cdot\left(x^2+x+1\right)\)