Question

1. 6r - 48s
2. 2p - 9

multiple-choice question
why does the gcf not have a variable?

• it should have a variable because both terms have a letter.
• it doesnt have a variable because both terms do not have the same letter.

rewatch

Explanation:

Step1: Find GCF of $6r-48s$

Factor coefficients: $6=2\times3$, $48=2^4\times3$. GCF of 6 and 48 is 6. Variables: $r$ and $s$ are distinct, so no common variable. GCF = $6$.

Step2: Find GCF of $2p-9$

Factor coefficients: $2=2$, $9=3^2$. No common prime factors, so GCF of coefficients is 1. Only one term has variable $p$, so no common variable. GCF = $1$.

Step3: Answer multiple-choice question

GCF only includes variables present in all terms. $6r-48s$ has $r$ and $s$, no shared variable, so GCF has no variable. Correct option is B.

Answer:

1. For $6r - 48s$: GCF = 6
2. For $2p - 9$: GCF = 1
3. B. It doesn't have a variable because both terms do not have the same letter.