Question

phân tích đa thức thành nhân tử

x^4+x^3+2x^2+x+1

Answer 1

\(x^4+x^3+2x^2+x+1\)

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

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

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

Answer 2

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

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

Answer 3

x⁴+x³+2x²+x+1

=(x⁴+2x²+1)+(x³+x)

=(x²+1)²+x(x²+1)

=(x²+1)(x²+1+x)