Question

x^4+x^3+x+1(phân tích đa thức thành nhân tử) xin cảm ơn nhiều ạ 

Answer 1

=x^3(x+1)+x+1

=(x+1)(x^3+1)

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

Answer 2

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

Answer 3

`x^4+x^3+x+1`

`=x^3(x+1)+(x+1)`

`=(x^3+1)(x+1)`

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

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