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What is the LCM of the polynomial expression m^2 + 3m + 2?

A) m + 1

B) m + 2

C) m + 3

D) m + 4

User Brans Ds
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1 Answer

1 vote

Final answer:

The question incorrectly refers to the LCM of a polynomial expression. The polynomial m^2 + 3m + 2 can be factored into (m + 1)(m + 2), which are factors, not multiples of the expression.

Step-by-step explanation:

The question appears to have a mix-up because the term Least Common Multiple (LCM) applies to numbers, not polynomial expressions. However, if the intent is to factor the polynomial expression m^2 + 3m + 2 and find the factors, we can proceed.

To factor the quadratic polynomial, we look for two numbers that multiply to give the constant term (2) and add up to the coefficient of the middle term (3). These numbers are 1 and 2. Therefore, we can factor the expression as:

(m + 1)(m + 2)

These two factors correspond to options A and B, respectively. It's important to note that these are factors, not multiples, of the polynomial expression. There seems to be a conceptual misunderstanding in the question as posed, as polynomials do not have LCMs in the same sense that integers do.

User KarloX
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