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In Mathematics / Middle School | 2014-03-31

Factor the expression:

\[ 5a^2 + 7a + 6b^2 - 4b \]

Could it possibly be prime?

Asked by dennamedrano

Answer (2)

I kind of forgot how to do it but here is what I know so far : first you separate the two parts into (5a^2 + 7a) + (6b^2-4b). This process is called grouping. Now you find the greatest common factor in both of them which later your equation will be a(5a + 7) +2b(3b - 2). That is all I can remember so hope that helped

Answered by Fluffybunny0913 | 2024-06-10

The expression 5 a 2 + 7 a + 6 b 2 − 4 b can be partially factored into 5 a 2 + 7 a + 2 b ( 3 b − 2 ) , but it cannot be factored further as a product of simpler terms. Therefore, it is likely prime when considering integer coefficients. There are no common factors to take out from the a terms.
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Answered by Fluffybunny0913 | 2024-12-24