Factor completely. -4x^(2)-28 x-48=

Identify the quadratic expression: Identify the quadratic expression to be factored. The given expression is -4x^2 - 28x - 48.Factor out the greatest common factor: Factor out the greatest common factor (GCF) from the quadratic expression. The GCF of -4x^2, -28x, and -48 is -4. Factoring out -4, we get -4(x^2 + 7x + 12).Rewrite the quadratic expression: Rewrite the quadratic expression inside the parentheses in factored form. The quadratic expression x^2 + 7x + 12 can be factored into (x + 3)(x + 4).Combine the GCF with the factored form: Combine the GCF with the factored form of the quadratic expression. The factored form of the original expression is -4(x + 3)(x + 4).

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Algebra 2

Factor quadratics

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Q. Factor completely.

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-4x^{2}-28x-48=

Identify the quadratic expression: Identify the quadratic expression to be factored. $\newline$ The given expression is $-4x^2 - 28x - 48$ .
Factor out the greatest common factor: Factor out the greatest common factor (GCF) from the quadratic expression. $\newline$ The GCF of $-4x^2$ , $-28x$ , and $-48$ is $-4$ . $\newline$ Factoring out $-4$ , we get $-4(x^2 + 7x + 12)$ .
Rewrite the quadratic expression: Rewrite the quadratic expression inside the parentheses in factored form. $\newline$ The quadratic expression $x^2 + 7x + 12$ can be factored into $(x + 3)(x + 4)$ .
Combine the GCF with the factored form: Combine the GCF with the factored form of the quadratic expression. $\newline$ The factored form of the original expression is $-4(x + 3)(x + 4)$ .