QuestionJuly 14, 2025

Factor the GCF out of the polynomial below: 10x^6+14x^4+4x^3 square

Factor the GCF out of the polynomial below: 10x^6+14x^4+4x^3 square
Factor the GCF out of the polynomial below:
10x^6+14x^4+4x^3
square

Solution
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Answer

2x^3(5x^3 + 7x + 2) Explanation 1. Identify the GCF The greatest common factor (GCF) of the coefficients 10, 14, and 4 is 2. The smallest power of x in all terms is x^3. 2. Factor out the GCF Factor 2x^3 from each term: 10x^{6} + 14x^{4} + 4x^{3} = 2x^3(5x^3 + 7x + 2)

Explanation

1. Identify the GCF<br /> The greatest common factor (GCF) of the coefficients $10$, $14$, and $4$ is $2$. The smallest power of $x$ in all terms is $x^3$.<br />2. Factor out the GCF<br /> Factor $2x^3$ from each term: <br /> $10x^{6} + 14x^{4} + 4x^{3} = 2x^3(5x^3 + 7x + 2)$
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