Question
or
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
3h2–9h
Answers
GPT-4o mini
To factor out the greatest common factor (GCF) from the polynomial \(3h^2 - 9h\), we first identify the GCF of the terms.
The two terms are:
- \(3h^2\)
- \(-9h\)
The coefficients are 3 and -9. The GCF of 3 and -9 is 3.
The variable part has \(h^2\) and \(h\); the GCF here is \(h\).
Thus, the overall GCF of the expression \(3h^2 - 9h\) is \(3h\).
Now we can factor it out:
\[
3h^2 - 9h = 3h(h - 3)
\]
So, the factored form of the polynomial is:
\[
3h(h - 3)
\]
The two terms are:
- \(3h^2\)
- \(-9h\)
The coefficients are 3 and -9. The GCF of 3 and -9 is 3.
The variable part has \(h^2\) and \(h\); the GCF here is \(h\).
Thus, the overall GCF of the expression \(3h^2 - 9h\) is \(3h\).
Now we can factor it out:
\[
3h^2 - 9h = 3h(h - 3)
\]
So, the factored form of the polynomial is:
\[
3h(h - 3)
\]