Question

algebra i part 2a 2026 - 2028 polynomial expressions which terms could have a greatest common factor of 5m^3n^2? choose two correct answers. this question requires at least 2 answers. 5m^3n^2 15m^2n^2 20m^3n^4 m^6n^6 10m^4n

Explanation:

Step1: Analyze the GCF components

The given term is $5m^3n^2$. The GCF has a coefficient of 5 and variables $m^3$ and $n^2$.

Step2: Check each option for common factors

For $5m^4n^3$, the common factors are $5m^3n^2$. For $15m^3n^2$, the common factors are $5m^3n^2$. For $2km^3n^4$, the common factors are $m^3n^2$ but the coefficient 2 and the variable $k$ are not part of the GCF of the original term in the way we need. For $m^0n^0 = 1$, no non - trivial common factor. For $10m^4n$, the common factors are $m^3n$ not $5m^3n^2$.

Answer:

$5m^4n^3$, $15m^3n^2$