Question

Which of the following is(are) the common factor(s) of monomials $6xy$ and $8x^2?$

• A. $2$
• B. $3$
• C. $x$
• D. $x^2$
• E. $y$

Answer 1

Answer: (A), (C)

$x$

$\underset{–}{\text{Given}:}$
Monomials: $6xy$ and $8x^2$

$\underset{–}{\text{Need to Find}:}$
Common factors of given monomials, $6xy$ and $8x^2$.

Firstly, let's factorize the given monomials individually:

$\bullet$ $6xy=2\times 3\times x\times y$

$\bullet$ $8x^2=2\times 2\times 2\times x\times x$

From the above factorizations, we can observe that $\underset{–}{2}$ and $\underset{–}{x}$ are common factors.