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1 Factor out the greatest common factor. If the greatest common factor is 1 , just retype the polynomial. be \( 43 v^{2}+30 \)

Ask by Floyd Wood. in the United States
Feb 03,2025

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Answer

The polynomial is \(43v^{2} + 30\).

Solution

The greatest common factor (GCF) of \(43v^{2} + 30\) is 1. Therefore, the polynomial remains the same: \[43v^{2} + 30\]

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Extra Insights

The polynomial \( 43v^2 + 30 \) has a greatest common factor of 1 since there are no common factors between the coefficients 43 and 30. Thus, the expression remains as \( 43v^2 + 30 \). Finding the greatest common factor (GCF) is a handy skill in algebra, as it simplifies expressions and makes factoring easier! Remember, if you notice coefficients sharing common prime factors, that's your cue to factor them out for a tidier polynomial, which can be especially useful in simplifying equations or solving for variables later on.

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