Question

question
factor the expression completely.
-100x^5 + 90

Explanation:

Step1: Factor out the GCF

Identify the greatest common factor (GCF) of $-100x^5$ and $90$, which is $-10$.
$ -100x^5 + 90 = -10(10x^5 - 9) $

Step2: Check for further factoring

The binomial $10x^5 - 9$ is a sum/difference of terms that cannot be factored over integers or using standard polynomial factoring rules (it is not a difference of squares, cubes, etc.).

Answer:

$-10(10x^5 - 9)$