ginareyes0423
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What is the greatest common factor of the polynomial's terms?
9r^5s + 6r^4s^2 āˆ’ 12r^2s

Factor out the GCF.

Please help already know the answer to the first one I just donā€™t know finding out factor of the GCF

The first one is
3r^2s ā€¢ (3r^3 + 2r^2s - 4)

Respuesta :

MathPhys

Step-by-step explanation:

Write the prime factorization of each term:

9rāµs = 3Ā² Ɨ rāµ Ɨ s

6rā“sĀ² = 2 Ɨ 3 Ɨ rā“ Ɨ sĀ²

12rĀ²s = 2Ā² Ɨ 3 Ɨ rĀ² Ɨ s

The greatest common factor will have all the common factors raised to their lowest exponent.

So all three terms have 3, r, and s as factors. Ā The lowest exponent of 3 is 1. Ā The lowest exponent of r is 2. Ā The lowest exponent of s is 1.

GCF = 3 Ɨ rĀ² Ɨ s

GCF = 3rĀ²s

Factor out the GCF:

9rāµs + 6rā“sĀ² āˆ’ 12rĀ²s

3rĀ²s (3rĀ³ + 2rĀ²s āˆ’ 4)

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