4. Factored completely, m^5+m^3-6m is equivalent to

Question

Answer 1

To factor the expression

completely, we can follow these steps:1. **Factor out the greatest common factor (GCF):** The GCF of the terms

,

, and

is

.

2. **Factor the quadratic expression inside the parentheses:** We need to factor

. Let's set

. Then the expression becomes a quadratic in terms of

:

3. **Factor the quadratic expression:** We look for two numbers that multiply to

and add up to

. These numbers are

and

.

4. **Substitute back

:** Replace

with

in the factored form:

5. **Combine with the GCF factored out initially:** Finally, we include the

that we factored out initially:

So, the completely factored form of

is:

Question