Question
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
3h^3 - 6h^2
3h^3 - 6h^2
Answers
GPT-4o mini
To factor out the greatest common factor (GCF) from the polynomial \(3h^3 - 6h^2\), we first identify the GCF of the coefficients and the variables.
1. The GCF of the coefficients \(3\) and \(-6\) is \(3\).
2. The GCF of \(h^3\) and \(h^2\) is \(h^2\).
Now we can factor out \(3h^2\):
\[
3h^3 - 6h^2 = 3h^2(h - 2)
\]
Thus, the factored form of the polynomial is:
\[
3h^2(h - 2)
\]
1. The GCF of the coefficients \(3\) and \(-6\) is \(3\).
2. The GCF of \(h^3\) and \(h^2\) is \(h^2\).
Now we can factor out \(3h^2\):
\[
3h^3 - 6h^2 = 3h^2(h - 2)
\]
Thus, the factored form of the polynomial is:
\[
3h^2(h - 2)
\]