Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

Question

6p^3–9p^2

Answer 1

To factor out the greatest common factor (GCF) from the polynomial \( 6p^3 - 9p^2 \), we first identify the GCF of the coefficients \( 6 \) and \( 9 \), which is \( 3 \). Additionally, the lowest power of \( p \) in the terms is \( p^2 \).

Thus, the GCF of the polynomial is \( 3p^2 \).

Now, we can factor \( 3p^2 \) out of the polynomial:

\[ 6p^3 - 9p^2 = 3p^2(2p - 3) \]

So, the factored form of the polynomial is:

\[ 3p^2(2p - 3) \]