Question

for which value(s) of x is \\(\frac{x - 2}{x^2 + 4x - 21}\\) undefined?
1 -7, 3
2 -3, 7

1. -3, -2, 7
2. 2

Explanation:

Step1: Set denominator to 0

$$x^2 +4x -21 =0$$

Step2: Factor quadratic equation

$$(x+7)(x-3)=0$$

Step3: Solve for x

$x+7=0 \implies x=-7$, $x-3=0 \implies x=3$

Answer:

1. $-7, 3$