Find the LCM of the given polynomial. x^{2}-4, x^{2}-x-2

abreviatsjw

abreviatsjw

Answered question

2021-12-13

Find the LCM of the given polynomial.
x24,x2x2

Answer & Explanation

Alex Sheppard

Alex Sheppard

Beginner2021-12-14Added 36 answers

Step 1
we have to find the LCM of the given Polynomial
f(x)=x24
p(x)=x2x2
Step 2
we have
f(x)=x24
f(x)=x222
f(x)=(x-2)(x+2)...(1)
now,
p(x)=x2x2
p(x)=x22x+x2
p(x)=x(x-2)+1(x-2)
p(x)=(x-2)(x+1)...(2)
now, from (1) and (2)
f(x)=(x-2)(x+2)
p(x)=(x-2)(x+1)
LCM = (x-2) (answer)

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