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:

$$4j(j^2-2)$$