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

Question

4j^3–8j

Answer 1

To factor out the greatest common factor (GCF) from the polynomial \(4j^3 - 8j\), we first identify the GCF of the coefficients and the variable parts.

1. The coefficients are 4 and -8. The GCF of 4 and 8 is 4.
2. The variable part \(j^3\) and \(j\) has a common factor of \(j\).

Thus, the GCF of the entire expression is \(4j\).

Now we can factor \(4j\) out of each term in the polynomial:

\[ 4j^3 - 8j = 4j(j^2 - 2) \]

So, the factored form of the polynomial is:

\[ 4j(j^2 - 2) \]