Find the LCM of the given polynomial. x^{3}-x, x^{3}-2x^{2}+x, x^{3}-1

Judith McQueen

Judith McQueen

Answered question

2021-12-13

Find the LCM of the given polynomial.
x3x,x32x2+x,x31

Answer & Explanation

Gerald Lopez

Gerald Lopez

Beginner2021-12-14Added 29 answers

Step 1
Given:
x3x,
x32x2,
x31
Step 2
x3x=x(x21)
=x(x212)
=x(x+1)(x-1)
x32x2=x2(x2)
x31=x313
=(x1)(x2+x+1)
Hence,
LCM=x2(x+1)(x1)(x2)(x2+x+1)
porschomcl

porschomcl

Beginner2021-12-15Added 28 answers

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