Question

Find the complete factored form of the polynomial -24a6b4-40a3

Answer 1

For this case we have the following polynomial:

`-24a ^ 6b ^ 4-40a ^ 3`

We must find the greatest common factor of the terms of the polynomial.

The GCF of the coefficients is given by:

`24 = 3 * 8\\40 = 5 * 8`

Then we look for the GFC of the variables:

We have then:

`a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3`

Finally rewriting we have:
`-24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)`

Answer:

the complete factored form of the polynomial is:

`-8a ^ 3 (3a ^ 3b ^ 4 + 5)`