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Answer:

11k^3 (4k^2 - 6k +7)

Step-by-step explanation:

Take out the obvious GCF of 11

11 (4k^5 - 6k^4 + 7k^3)

Take out the GCF of k^3 (from the terms in the parentheses)

11k^3  (4k^2 - 6k + 7)

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Factor the polynomial by its greatest common monomial factor of 44k^5-66k^4+77k^3 is:

Take out the obvious GCF of 11

11 (4k^5 - 6k^4 + 7k^3)

Take out the GCF of k^3 (from the terms in the parentheses)

11k^3  (4k^2 - 6k + 7)

How do you find a monomial factor?

To find the greatest common factor (GCF) among monomials, take each monomial and write it as high factorization. Then, identify the factors commonplace to each monomial and multiply the commonplace elements collectively.

Steps to Factoring a Monomial from a Polynomial

  • determine the GCF of all terms within the polynomial.
  • Write each term because of the product of the GCF and some other factor.
  • Use the distributive property to issue out the GCF.

Conclusion: factoring trivial factors greatest common factor high polynomials whole factorization big concept common monomial factoring is the procedure of writing a polynomial as a made from two polynomials, considered one of that's a monomial that elements each term of the polynomial.

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