Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.10v3−4v
Identify GCF: Identify the greatest common factor (GCF) of the terms 10v3 and 4v. The GCF is the highest number that divides both coefficients (10 and 4) and the highest power of v that is in both terms.The coefficients 10 and 4 can both be divided by 2. The variable v is present in both terms, with the lowest power being v1 (since 4v0).Therefore, the GCF is 4v1.
Divide by GCF: Divide each term by the GCF to factor it out.For the first term, 10v3 divided by 2v gives 5v2.For the second term, 4v divided by 2v gives 2.
Write as Product: Write the original polynomial as the product of the GCF and the factored terms.10v3−4v=2v(5v2−2)