Factor the quadratic expression x²+4x/2 -2

Identify Coefficients and Constant Term: Identify the coefficients and constant term in the quadratic expression. The quadratic expression is x² + (4x/2) - 2. Here, the coefficient of x² is 1 (which is 'a'), the coefficient of x is (4/2) which simplifies to 2 (which is 'b'), and the constant term is -2 (which is 'c').Simplify the Expression: Simplify the expression if necessary. The expression x² + (4x/2) - 2 can be simplified by dividing 4x by 2, which gives us x² + 2x - 2.Find Suitable Numbers: Look for two numbers that multiply to 'a*c' (1*-2 = -2) and add up to 'b' (2). We need to find two numbers that multiply to -2 and add up to 2. The numbers 2 and -1 satisfy these conditions because 2 * -1 = -2 and 2 + (-1) = 1. However, we need the numbers to add up to 2, not 1, so there seems to be a mistake.

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Q. Factor the quadratic expression:

x^2+\frac{4x}{2} -2

Identify Coefficients and Constant Term: Identify the coefficients and constant term in the quadratic expression. $\newline$ The quadratic expression is $x^2 + \left(\frac{4x}{2}\right) - 2$ . $\newline$ Here, the coefficient of $x^2$ is $1$ (which is ' $a$ '), the coefficient of $x$ is $\left(\frac{4}{2}\right)$ which simplifies to $2$ (which is ' $b$ '), and the constant term is $-2$ (which is ' $c$ ').
Simplify the Expression: Simplify the expression if necessary. $\newline$ The expression $x^2 + \left(\frac{4x}{2}\right) - 2$ can be simplified by dividing $4x$ by $2$ , which gives us $x^2 + 2x - 2$ .
Find Suitable Numbers: Look for two numbers that multiply to ' $a*c$ ' ( $1*-2 = -2$ ) and add up to ' $b$ ' ( $2$ ). $\newline$ We need to find two numbers that multiply to $-2$ and add up to $2$ . $\newline$ The numbers $2$ and $-1$ satisfy these conditions because $2 * -1 = -2$ and $2 + (-1) = 1$ . $\newline$ However, we need the numbers to add up to $2$ , not $1*-2 = -2$ $1$ , so there seems to be a mistake.