find all vertical asymptotes of the following function. $f(x)=\frac{x - 4}{2x^{2}+34x + 140}$ answer attempt…

find all vertical asymptotes of the following function. $f(x)=\frac{x - 4}{2x^{2}+34x + 140}$ answer attempt 2 out of 6

find all vertical asymptotes of the following function. $f(x)=\frac{x - 4}{2x^{2}+34x + 140}$ answer attempt 2 out of 6

Answer

Explanation:

Step1: Set denominator equal to 0

$2x^{2}+34x + 140=0$

Step2: Divide by 2

$x^{2}+17x + 70=0$

Step3: Factor the quadratic

$(x + 7)(x+ 10)=0$

Step4: Solve for x

$x=-7$ or $x=-10$

Answer:

$x=-7,x = - 10$