Questions: Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 24 h^3 - 36 h^2

Solution Steps

The given polynomial is \( 24h^{3} - 36h^{2} \). First, find the GCF of the coefficients 24 and 36. The GCF of 24 and 36 is 12. Next, identify the GCF of the variable terms \( h^{3} \) and \( h^{2} \), which is \( h^{2} \). Therefore, the GCF of the polynomial is \( 12h^{2} \).

Factor out \( 12h^{2} \) from each term in the polynomial: \[ 24h^{3} - 36h^{2} = 12h^{2}(2h) - 12h^{2}(3) \]

Combine the terms inside the parentheses: \[ 12h^{2}(2h - 3) \]

Final Answer