(1 point)
Responses
what value would cause the rational expression 5x+15/-2x^2-16x-32 to be undefined
4
4
-4
-4
0
0
-3
To find the value that would cause the rational expression 5x+15/-2x^2-16x-32 to be undefined, we need to determine when the denominator of the expression would be equal to zero.
Setting the denominator equal to zero and solving for x:
-2x^2 - 16x - 32 = 0
We can factor out a -2 from the equation:
-2(x^2 + 8x + 16) = 0
Now, we can factor the quadratic expression inside the parentheses:
-2(x + 4)(x + 4) = 0
Setting each factor equal to zero:
x + 4 = 0
x = -4
Therefore, the value that would cause the rational expression to be undefined is -4.
To find the value that would cause the rational expression to be undefined, we need to determine if there are any values of x that would make the denominator equal to zero.
The denominator of the expression is -2x^2 - 16x - 32.
To find the values of x that would make the denominator zero, we can set the denominator equal to zero and solve for x as follows:
-2x^2 - 16x - 32 = 0
Let's factor this expression to solve for x. Factoring out -2 from the equation, we have:
-2(x^2 + 8x + 16) = 0
Now, let's further factor the quadratic equation inside the parentheses:
-2(x + 4)(x + 4) = 0
Setting each factor equal to zero, we have:
x + 4 = 0
Solving for x, we get:
x = -4
Therefore, the value of x that would cause the rational expression 5x + 15 / -2x^2 - 16x - 32 to be undefined is -4.
To determine the value that would cause the given rational expression to be undefined, we need to consider the denominator of the expression.
The given rational expression is: (5x + 15)/(-2x^2 - 16x - 32)
For the expression to be undefined, the denominator (-2x^2 - 16x - 32) must equal zero.
We can solve this equation to find the value(s) that make the denominator zero:
-2x^2 - 16x - 32 = 0
First, we divide the equation by -2 to simplify it:
x^2 + 8x + 16 = 0
Now, we can factor the quadratic equation:
(x + 4)(x + 4) = 0
Since the same factor, (x + 4), is repeated twice, the solution is x = -4.
Therefore, the value that would cause the given rational expression to be undefined is -4.