Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 10z^3 + 4z^2 ______

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Find GCF Factors: We need to find the greatest common factor (GCF) of the terms 10z^3 and 4z^2. To do this, we will first list the factors of the coefficients (10 and 4) and the variables (z^3 and z^2). Factors of 10: 1, 2, 5, 10 Factors of 4: 1, 2, 4 The common factors of the coefficients are 1 and 2. Since z^2 is the lower power of z, it is the common factor in terms of the variable. The GCF of 10z^3 and 4z^2 is therefore 2z^2.Express Terms as Product: Now we will express each term as a product of the GCF and the remaining factors. For 10z^3, we divide it by the GCF (2z^2) to find the remaining factor: 10z^3 ÷ 2z^2 = 5z So, 10z^3 can be written as 2z^2 * 5z.Divide and Find Remaining Factor: For 4z^2, we divide it by the GCF (2z^2) to find the remaining factor: 4z^2 ÷ 2z^2 = 2 So, 4z^2 can be written as 2z^2 * 2.Write Factored Form: We can now write the factored form of the polynomial 10z^3 + 4z^2 using the GCF: 10z^3 + 4z^2 = 2z^2 * 5z + 2z^2 * 2 = 2z^2(5z + 2) This is the polynomial factored out by the greatest common factor.

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $10z^3 + 4z^2$

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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $10z^3 + 4z^2$