Factor the expression completely. 10x^(5)-7x^(2) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 10x^(5) and 7x^(2). The GCF of 10x^(5) and 7x^(2) is x^(2), since x^(2) is the highest power of x that divides both terms.Factor out GCF: Factor out the GCF from the expression. The expression 10x^(5) - 7x^(2) can be factored as x^(2)(10x^(3) - 7).Check for further factorization: Check if the remaining expression inside the parentheses can be factored further. The expression 10x^(3) - 7 does not have a common factor and is not a special polynomial (like a difference of squares or a perfect square trinomial), so it cannot be factored further.Write final factored form: Write the final factored form of the expression. The completely factored form of the expression is x^(2)(10x^(3) - 7).

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Factor the expression completely.

10x^(5)-7x^(2)
Answer:

Factor the expression completely. $\newline$ $10 x^{5}-7 x^{2}$ $\newline$ Answer:

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Q. Factor the expression completely.

\newline

10 x^{5}-7 x^{2}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $10x^{5}$ and $7x^{2}$ . The GCF of $10x^{5}$ and $7x^{2}$ is $x^{2}$ , since $x^{2}$ is the highest power of $x$ that divides both terms.
Factor out GCF: Factor out the GCF from the expression. $\newline$ The expression $10x^{5} - 7x^{2}$ can be factored as $x^{2}(10x^{3} - 7)$ .
Check for further factorization: Check if the remaining expression inside the parentheses can be factored further. $\newline$ The expression $10x^{3} - 7$ does not have a common factor and is not a special polynomial (like a difference of squares or a perfect square trinomial), so it cannot be factored further.
Write final factored form: Write the final factored form of the expression. $\newline$ The completely factored form of the expression is $x^{2}(10x^{3} - 7)$ .