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Find the least common multiple (LCM) of the polynomials z² + 5z + 6 and zx + 2x − 8z-16

User Hosane
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1 Answer

6 votes

Answer:

(z+2)(z+3)(x-8)

Explanation:

z² + 5z + 6 can be factored into (z+3)(z+2)

zx + 2x − 8z-16 can be factored into (x-8)(z+2)

the LCM would be (z+2)(z+3)(x-8)

if you were to multiply the two expressions together, you would multiply (z+2)^2, which is not necessary for LCM, which is why you factor them first

User Tim Morton
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