High School

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------------------------------------------------ Factor the expression completely.

[tex]\[ -45 - 50x^4 \] [/tex]

Answer :

Sure! Let's factor the expression [tex]\(-45 - 50x^4\)[/tex] completely.

### Step-by-Step Solution:

1. Factor out the Greatest Common Factor (GCF):
First, we look for the greatest common factor in the terms [tex]\(-45\)[/tex] and [tex]\(-50x^4\)[/tex].

- The greatest common factor of [tex]\(-45\)[/tex] and [tex]\(-50\)[/tex] is [tex]\(-5\)[/tex].

2. Factor out [tex]\(-5:
Pull out \(-5\)[/tex] from each term inside the expression:
[tex]\[
-45 - 50x^4 = -5(9 + 10x^4)
\][/tex]

3. Result:
After factoring out the GCF, the factored form of the given expression is:
[tex]\[
-5 (10x^4 + 9)
\][/tex]

That's the completely factored form of the expression [tex]\(-45 - 50x^4\)[/tex].

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