Asked by Zarae Allen on Mar 10, 2024

Verified

# Find the greatest common factor of the expressions below, if one exists. $40(7−y)_{5},50(7−y)_{4}$

A) $40(7−y)_{4}$

B) $5(7−y)_{10}$

C) $10(7−y)_{4}$

D) $4(7−y)_{5}$

E) No greatest common monomial factor exists.

Greatest Common Monomial Factor

The highest monomial that evenly divides all terms of a given polynomial.

- Apply the maximum common factor (MCF) to reduce expressions or identify chances for factoring.

Verified Answer

AC

Andre ClemonsMar 10, 2024

Final Answer :

C

Explanation :

The common factor is $10 (7-y)^4$. This can be found by taking the greatest common factor of the coefficients (which is 10) and the greatest power of the common factor $(7-y)$, which is 4. Therefore, the answer is $\boxed{\textbf{(C)}}$.

## Learning Objectives

- Apply the maximum common factor (MCF) to reduce expressions or identify chances for factoring.

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