Factor completely. -5x^(2)-25 x-30 Answer:

Identify common factor: Identify the common factor in all terms. The polynomial is -5x^2 - 25x - 30. All terms have a common factor of -5.Factor out common factor: Factor out the common factor. Factor out -5 from each term to get -5(x^2 + 5x + 6).Factor quadratic expression: Factor the quadratic expression. Now we need to factor the quadratic x^2 + 5x + 6. We are looking for two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of the x term). The numbers 2 and 3 satisfy these conditions because 2 * 3 = 6 and 2 + 3 = 5.Write factored form: Write the factored form of the quadratic. The factored form of x^2 + 5x + 6 is (x + 2)(x + 3).Combine with common factor: Combine the factored quadratic with the common factor. The final factored form of the original polynomial is -5(x + 2)(x + 3).

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Q. Factor completely.

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-5 x^{2}-25 x-30

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Answer:

Identify common factor: Identify the common factor in all terms. $\newline$ The polynomial is $-5x^2 - 25x - 30$ . All terms have a common factor of $-5$ .
Factor out common factor: Factor out the common factor. $\newline$ Factor out $-5$ from each term to get $-5(x^2 + 5x + 6)$ .
Factor quadratic expression: Factor the quadratic expression. $\newline$ Now we need to factor the quadratic $x^2 + 5x + 6$ . We are looking for two numbers that multiply to $6$ (the constant term) and add up to $5$ (the coefficient of the $x$ term). $\newline$ The numbers $2$ and $3$ satisfy these conditions because $2 \times 3 = 6$ and $2 + 3 = 5$ .
Write factored form: Write the factored form of the quadratic. $\newline$ The factored form of $x^2 + 5x + 6$ is $(x + 2)(x + 3)$ .
Combine with common factor: Combine the factored quadratic with the common factor. $\newline$ The final factored form of the original polynomial is $-5(x + 2)(x + 3)$ .