Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 2z^3 - 10z^2 ______

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Identify GCF: Identify the greatest common factor (GCF) of the terms 2z^3 and 10z^2. The GCF is the highest number that divides both coefficients (2 and 10) and the highest power of z that is in both terms. The coefficients 2 and 10 have a GCF of 2. The variable part, z^3 and z^2, have a GCF of z^2 since that is the highest power of z that both terms share.Write Terms as Product: Write each term as a product of the GCF and the remaining factors. For 2z^3, the GCF is 2z^2, so the remaining factor is z. Therefore, 2z^3 can be written as 2z^2 * z. For 10z^2, the GCF is 2z^2, so the remaining factor is 5. Therefore, 10z^2 can be written as 2z^2 * 5.Factor Out GCF: Factor out the GCF from the polynomial 2z^3 - 10z^2. Using the expressions from the previous step, we can write the polynomial as: 2z^3 - 10z^2 = 2z^2 * z - 2z^2 * 5 Now, factor out the GCF, 2z^2, from both terms: 2z^3 - 10z^2 = 2z^2(z - 5)

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2z^3 - 10z^2$

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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2z^3 - 10z^2$