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![Factor the polynomial by its greatest common monomial factor.
{:[44k^(5)-66k^(4)+77k^(3)=],[+=^(-x)]:}](https://externalquestionsimg-a4fuc2b6e0gtdqge.z01.azurefd.net/external-question-images/images/images/ka/Algebra-2/Polynomial%20factorization/Taking%20common%20factors/Q-12.png)
Factor the polynomial by its greatest common monomial factor.
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Q. Factor the polynomial by its greatest common monomial factor.
- Identifying the GCF: First, we need to identify the greatest common factor (GCF) of the coefficients and the lowest power of that is common to all terms.The coefficients are , , and . The GCF of these numbers is .The variable part is raised to the powers of , , and . The lowest power is .So, the greatest common monomial factor is .
- Dividing by the GCF: Now, we divide each term of the polynomial by the greatest common monomial factor, .
- Writing the Original Polynomial: After dividing, we write the original polynomial as the product of the greatest common monomial factor and the resulting polynomial.
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