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Answer :
To factor the expression [tex]\(-45 - 50x^4\)[/tex] completely, we can follow these steps:
1. Identify Common Factors:
First, look for any common factors in the terms of the expression. Here, we have two terms: [tex]\(-45\)[/tex] and [tex]\(-50x^4\)[/tex]. Both terms can be divided by [tex]\(-5\)[/tex].
2. Factor Out the Greatest Common Factor (GCF):
Take [tex]\(-5\)[/tex] as the common factor out of the expression:
[tex]\[
-45 - 50x^4 = -5(9 + 10x^4)
\][/tex]
3. Check for Further Factoring:
Now, look at the expression inside the parentheses, [tex]\(9 + 10x^4\)[/tex]. We need to check if this can be factored further.
4. Conclude with Complete Factoring:
The expression [tex]\(9 + 10x^4\)[/tex] does not have any common factors and can't be factored further with real coefficients without involving complex numbers. Thus, the expression is completely factored.
The complete factored form of the expression [tex]\(-45 - 50x^4\)[/tex] is:
[tex]\[
-5(10x^4 + 9)
\][/tex]
1. Identify Common Factors:
First, look for any common factors in the terms of the expression. Here, we have two terms: [tex]\(-45\)[/tex] and [tex]\(-50x^4\)[/tex]. Both terms can be divided by [tex]\(-5\)[/tex].
2. Factor Out the Greatest Common Factor (GCF):
Take [tex]\(-5\)[/tex] as the common factor out of the expression:
[tex]\[
-45 - 50x^4 = -5(9 + 10x^4)
\][/tex]
3. Check for Further Factoring:
Now, look at the expression inside the parentheses, [tex]\(9 + 10x^4\)[/tex]. We need to check if this can be factored further.
4. Conclude with Complete Factoring:
The expression [tex]\(9 + 10x^4\)[/tex] does not have any common factors and can't be factored further with real coefficients without involving complex numbers. Thus, the expression is completely factored.
The complete factored form of the expression [tex]\(-45 - 50x^4\)[/tex] is:
[tex]\[
-5(10x^4 + 9)
\][/tex]
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