Question

phân tích đa thức sau thành nhân tử 

x mũ 4 cộng x mũ 3 cộng x cộng 1

Answer 1

x⁴ + x³ + x +1

= x³(x+1) + (x+1)

=(x+1)(x³ +1)

= (x+1)(x+1)(x² - x-1)

= (x+1)²(x² -x+1) 

Answer 2

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

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

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

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