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Factor the polynomial by its greatest common monomial factor. $44k^5-66k^4+77k^3=$

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Factor polynomials

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Q. Factor the polynomial by its greatest common monomial factor.

44k^5-66k^4+77k^3=

Identify GCF and Power: Step Title: Identify the Greatest Common Monomial Factor $\newline$ Concise Step Description: Determine the greatest common factor (GCF) of the coefficients and the lowest power of $k$ common to all terms. $\newline$ Step Calculation: The coefficients are $44$ , $66$ , and $77$ . The GCF of the coefficients is $11$ . The lowest power of $k$ common to all terms is $k^3$ . $\newline$ Step Output: Greatest common monomial factor is $11k^3$ .
Factor Out GCF: Step Title: Factor Out the Greatest Common Monomial Factor $\newline$ Concise Step Description: Divide each term by the greatest common monomial factor to find the remaining polynomial. $\newline$ Step Calculation: $(44k^5 \div 11k^3) = 4k^2$ , $(66k^4 \div 11k^3) = 6k$ , $(77k^3 \div 11k^3) = 7$ . $\newline$ Step Output: Factored polynomial is $11k^3(4k^2 - 6k + 7)$ .

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