Hobbs Ward
10/22/2024 · Junior High School

Follow the steps I have provided to complete the problem. Please number your steps. Upload a photo of your work to the Add Work box. Completely factor the polynomial: \( 21 x^{3}-84 x^{2}+6 x^{2}-24 x \) 1. Check for a greatest common factor GCF for all terms. If there is one, factor it out. 1. If there was a GCF from step 1, leave it out in front and group the terms in the polynomial to create two groups of two. 2. Factor out the greatest common factor from each group. You may or may not need to factor out a negative greatest common factor. Note: Once you have factored out the greatest common factor, what is left in the parentheses should be the same. 3. Factor out what the two groups have in common to get your final answer.

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The completely factored form of the polynomial \( 21x^{3} - 84x^{2} + 6x^{2} - 24x \) is \( 3x(7x + 2)(x - 4) \).

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