23. Find the greatest common monomial factor. $$ 4 x^{2} $$ and $$ 14 x^{3} $$ a $$ 2 x^{2} $$ b $$ 3 x^{2} $$ c $$ 5 x^{2} $$ d $$ x^{2} $$

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The greatest common monomial factor is $$ 2x^2 $$. To find the greatest common monomial factor of $$ 4x^2 $$ and $$ 14x^3 $$, we need to determine the greatest common factor (GCF) of the coefficients and the lowest power of the variable $$ x $$. 1. **Coefficients**: The coefficients are 4 and 14. - The factors of 4 are: 1, 2, 4 - The factors of 14 are: 1, 2, 7, 14 - The greatest common factor of 4 and 14 is 2. 2. **Variable $$ x $$**: The powers of $$ x $$ are $$ x^2 $$ and $$ x^3 $$. - The lowest power of $$ x $$ is $$ x^2 $$. Now, we combine the GCF of the coefficients and the lowest power of $$ x $$: $$ \text{GCF} = 2x^2 $$ Thus, the greatest common monomial factor of $$ 4x^2 $$ and $$ 14x^3 $$ is $$ 2x^2 $$. The correct answer is: **a) $$ 2x^2 $$**.

23. Find the greatest common monomial factor. \( 4 x^{2} \) and \( 14 x^{3} \) a \( 2 x^{2} \) b \( 3 x^{2} \) c \( 5 x^{2} \) d \( x^{2} \)

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23. Find the greatest common monomial factor. \( 4 x^{2} \) and \( 14 x^{3} \) a \( 2 x^{2} \) b \( 3 x^{2} \) c \( 5 x^{2} \) d \( x^{2} \)

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