Question
or
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
2z2+4z
Answers
GPT-4o mini
To factor out the greatest common factor (GCF) from the polynomial \(2z^2 + 4z\), we first identify the GCF of the terms.
The GCF of the coefficients 2 and 4 is 2. Also, both terms contain the variable \(z\), with the lowest power being \(z^1\).
Thus, the greatest common factor is \(2z\).
Now, we can factor \(2z\) out of the polynomial:
\[
2z^2 + 4z = 2z(z + 2)
\]
So, the factored form of the polynomial is:
\[
2z(z + 2)
\]
The GCF of the coefficients 2 and 4 is 2. Also, both terms contain the variable \(z\), with the lowest power being \(z^1\).
Thus, the greatest common factor is \(2z\).
Now, we can factor \(2z\) out of the polynomial:
\[
2z^2 + 4z = 2z(z + 2)
\]
So, the factored form of the polynomial is:
\[
2z(z + 2)
\]