Factor the expression completely. -24-20x^(4) Answer:

Identify common factors: Identify common factors in both terms. Both terms, -24 and -20x^(4), have a common factor of -4.Factor out GCF: Factor out the greatest common factor from the expression. -24-20x^(4) = -4(6 + 5x^(4))Observe squares: Observe that the expression inside the parentheses can be written as a difference of squares. 6 + 5x^(4) can be expressed as (sqrt(6))^2 + (sqrt(5)x^2)^2, which is a sum of squares and not factorable over the real numbers.Conclusion: Since the expression inside the parentheses is a sum of squares and cannot be factored further over the real numbers, we conclude that the expression is fully factored. The completely factored form of the expression is -4(6 + 5x^(4)).

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Factor the expression completely.

-24-20x^(4)
Answer:

Factor the expression completely. $\newline$ $-24-20 x^{4}$ $\newline$ Answer:

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Algebra 1

Evaluate integers raised to rational exponents

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Q. Factor the expression completely.

\newline

-24-20 x^{4}

\newline

Answer:

Identify common factors: Identify common factors in both terms. $\newline$ Both terms, $-24$ and $-20x^{4}$ , have a common factor of $-4$ .
Factor out GCF: Factor out the greatest common factor from the expression. $\newline$ $-24-20x^{4} = -4(6 + 5x^{4})$
Observe squares: Observe that the expression inside the parentheses can be written as a difference of squares. $\newline$ $6 + 5x^{4}$ can be expressed as $(\sqrt{6})^2 + (\sqrt{5}x^2)^2$ , which is a sum of squares and not factorable over the real numbers.
Conclusion: Since the expression inside the parentheses is a sum of squares and cannot be factored further over the real numbers, we conclude that the expression is fully factored. $\newline$ The completely factored form of the expression is $-4(6 + 5x^{4})$ .