Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 3h^3 + 9h ______

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Identify Factors and Powers: We need to find the greatest common factor (GCF) of the terms 3h^3 and 9h. To do this, we will list the factors of the coefficients and the powers of h. Factors of 3: 1, 3 Factors of 9: 1, 3, 9 Powers of h in 3h^3: h, h^2, h^3 Powers of h in 9h: h The common factors of the coefficients are 1 and 3. The common powers of h are just h, since that is the lowest power of h present in both terms.Determine Greatest Common Factor: The greatest common factor of the coefficients 3 and 9 is 3. The greatest common factor of the powers of h is h. Therefore, the GCF of the entire polynomial is 3h.Divide by GCF: Now we will divide each term of the polynomial by the GCF to factor it out. 3h^3 ÷ 3h = h^2 9h ÷ 3h = 3Write Factored Polynomial: We can now write the original polynomial as the product of the GCF and the factored terms. 3h^3 + 9h = 3h(h^2 + 3)

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $3h^3 + 9h$

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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $3h^3 + 9h$