Question

Phân tích các đa thức sau thành nhân tử

1. x^4 - x^3 - x^2 + 1

Answer 1

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

Answer 2

\(^{x^4}\)-x^3-x^2 +1

=(x^4 -x^3) -(x^2-1)

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

=(x-1)(x^3-x-1)

đúng thì like cho mik nha