Factor the expression completely. -10x^(4)-16x^(5) Answer:

Identify Factors: Identify the common factors in both terms of the expression -10x^(4) and -16x^(5). The common factors are a negative sign, a factor of 2, and the lowest power of x present in both terms, which is x^4.Factor Out GCF: Factor out the greatest common factor (GCF) from both terms. The GCF of -10x^(4) and -16x^(5) is -2x^4. So, we factor -2x^4 out of both terms. -10x^(4) - 16x^(5) = -2x^4(5 + 8x)Check Factored Expression: Check the factored expression to ensure that it is equivalent to the original expression when expanded. -2x^4(5 + 8x) = -2x^4 * 5 - 2x^4 * 8x = -10x^4 - 16x^5 This matches the original expression, so the factoring is correct.

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Factor the expression completely.

-10x^(4)-16x^(5)
Answer:

Factor the expression completely. $\newline$ $-10 x^{4}-16 x^{5}$ $\newline$ Answer:

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Algebra 2

Evaluate rational exponents

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Q. Factor the expression completely.

\newline

-10 x^{4}-16 x^{5}

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Answer:

Identify Factors: Identify the common factors in both terms of the expression $-10x^{4}$ and $-16x^{5}$ . $\newline$ The common factors are a negative sign, a factor of $2$ , and the lowest power of $x$ present in both terms, which is $x^4$ .
Factor Out GCF: Factor out the greatest common factor (GCF) from both terms. $\newline$ The GCF of $-10x^{4}$ and $-16x^{5}$ is $-2x^4$ . $\newline$ So, we factor $-2x^4$ out of both terms. $\newline$ $-10x^{4} - 16x^{5} = -2x^4(5 + 8x)$
Check Factored Expression: Check the factored expression to ensure that it is equivalent to the original expression when expanded. $\newline$ $-2x^4(5 + 8x) = -2x^4 \times 5 - 2x^4 \times 8x = -10x^4 - 16x^5$ $\newline$ This matches the original expression, so the factoring is correct.