Question

Phân tích đa thức thành nhân tử:

a, \(4x^4+4x^3-x^2-x\)

b. \(x^3+x+2x^{10}+x^8+x^6+x^4+x^2+1\)

Answer 1

a)\(4x^4+4x^3-x^2-x\)

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

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

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

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