Question

Phân tích nhân tử
a)x⁴-3x+2
b)x⁴+x²+2x

Answer 1

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