QuestionApril 20, 2026

Factor. 10x^5+5x^2-15 10(x^5+5x^2-15) 5x^2(2x^3+x-3) 5(2x^5+5x^2-15) 5(2x^5+x^2-3)

Factor. 10x^5+5x^2-15 10(x^5+5x^2-15) 5x^2(2x^3+x-3) 5(2x^5+5x^2-15) 5(2x^5+x^2-3)
Factor.
10x^5+5x^2-15
10(x^5+5x^2-15)
5x^2(2x^3+x-3)
5(2x^5+5x^2-15)
5(2x^5+x^2-3)

Solution
4.3(204 votes)

Answer

5(2x^{5} + x^{2} - 3) Explanation 1. Factor out the greatest common factor GCF of 10x^{5} + 5x^{2} - 15 is 5. Factor it: 10x^{5} + 5x^{2} - 15 = 5(2x^{5} + x^{2} - 3) 2. Check for further factorization The cubic-like expression 2x^{5} + x^{2} - 3 has no common factor and doesn't factor nicely over integers.

Explanation

1. Factor out the greatest common factor <br /> GCF of $10x^{5} + 5x^{2} - 15$ is $5$. Factor it: <br />$10x^{5} + 5x^{2} - 15 = 5(2x^{5} + x^{2} - 3)$ <br />2. Check for further factorization <br /> The cubic-like expression $2x^{5} + x^{2} - 3$ has no common factor and doesn't factor nicely over integers.
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