Factor completely. -2x^(2)+6x+80 Answer:

Identify Coefficients and Constant Term: Identify the coefficients and constant term in the quadratic expression. Compare -2x^2 + 6x + 80 with ax^2 + bx + c. a = -2, b = 6, c = 80Factor Out Greatest Common Factor: Factor out the greatest common factor (GCF) from the quadratic expression. The GCF of -2, 6, and 80 is 2, but since the leading coefficient is negative, we factor out -2. -2(x^2 - 3x - 40)Factor Quadratic Expression: Now, we need to factor the quadratic expression inside the parentheses. We are looking for two numbers that multiply to -40 (a*c) and add up to -3 (b). The numbers that satisfy these conditions are -8 and 5 because -8 * 5 = -40 and -8 + 5 = -3.Write Factored Form: Write the factored form using the numbers found in the previous step. -2(x - 8)(x + 5)

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Q. Factor completely.

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-2 x^{2}+6 x+80

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Answer:

Identify Coefficients and Constant Term: Identify the coefficients and constant term in the quadratic expression. $\newline$ Compare $-2x^2 + 6x + 80$ with $ax^2 + bx + c$ . $\newline$ $a = -2$ , $b = 6$ , $c = 80$
Factor Out Greatest Common Factor: Factor out the greatest common factor (GCF) from the quadratic expression. $\newline$ The GCF of $-2 ext{, } 6 ext{, }$ and $80$ is $2$ , but since the leading coefficient is negative, we factor out $-2$ . $\newline$ $-2(x^2 - 3x - 40)$
Factor Quadratic Expression: Now, we need to factor the quadratic expression inside the parentheses. $\newline$ We are looking for two numbers that multiply to $-40$ $(a*c)$ and add up to $-3$ $(b)$ . $\newline$ The numbers that satisfy these conditions are $-8$ and $5$ because $-8 \times 5 = -40$ and $-8 + 5 = -3$ .
Write Factored Form: Write the factored form using the numbers found in the previous step. $\newline$ $-2(x - 8)(x + 5)$