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].
### 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].
