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Factor each polynomial by factoring out the greatest common factorminimum steps please

Factor each polynomial by factoring out the greatest common factorminimum steps please-example-1

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we are given the following expression:


12x^4+6x^3-8x^2

The greatest common factor between 12, 6, and 8 is 2. And the greatest common factor between the variables is:


\text{GCF(x}^4,x^3,x^2)=x^2

Therefore, the factorization is:


12x^4+6x^3-8x^2=2x^2(6x^2+3x-4)

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