Câu hỏi của nguyễn vy

Question

Phân tích đa thức thành nhan tử x4 + 1997x2 + 1996x + 1997

Ngân Ngô Việt · Accepted Answer

=(x4+x2+1)+(1996x2+1996x+1996)

=(x2+x+1)(x2-x+1)+1996(x2+x+1)

=(x2+x+1)(x2-x+1+1996)Câu trả lời: =(x4+x2+1)+(1996x2+1996x+1996)

=(x2+x+1)(x2-x+1)+1996(x2+x+1)

=(x2+x+1)(x2-x+1+1996)

nam do · Answer

$x^4+1997x^{
2}+1996x+1997$

$=\left(x^4-x\right)+\left(1997x^2+1997x+1997\right)$

$=x\left(x-1\right)\left(x^2+x+1\right)+1997\left(x^2+x+1\right)$

$=\left(x^2+x+1\right)\left[x\left(x-1\right)+1997\right]$

$=\left(x^2+x+1\right)\left(x^2-x+1997\right)$Câu trả lời: $x^4+1997x^{
2}+1996x+1997$

$=\left(x^4-x\right)+\left(1997x^2+1997x+1997\right)$

$=x\left(x-1\right)\left(x^2+x+1\right)+1997\left(x^2+x+1\right)$

$=\left(x^2+x+1\right)\left[x\left(x-1\right)+1997\right]$

$=\left(x^2+x+1\right)\left(x^2-x+1997\right)$