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Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline10v34v10v^3 - 4v

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Q. Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline10v34v10v^3 - 4v
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms 10v310v^3 and 4v4v. The GCF is the highest number that divides both coefficients (1010 and 44) and the highest power of vv that is in both terms.\newlineThe coefficients 1010 and 44 can both be divided by 22. The variable vv is present in both terms, with the lowest power being v1v^1 (since 4v4v00).\newlineTherefore, the GCF is 4v4v11.
  2. Divide by GCF: Divide each term by the GCF to factor it out.\newlineFor the first term, 10v310v^3 divided by 2v2v gives 5v25v^2.\newlineFor the second term, 4v4v divided by 2v2v gives 22.
  3. Write as Product: Write the original polynomial as the product of the GCF and the factored terms.\newline10v34v=2v(5v22)10v^3 - 4v = 2v(5v^2 - 2)