What is the undefined value of...

(3b^2 + 13b + 4) / (b + 4)

What you meant was ...

For what value of b is the expression undefined?

when b = -4, the denominator is zero, and you would be dividing by zero.
Division by zero is undefined, so

b ≠ -4

Okey, thanks

In order to find the undefined value of the expression (3b^2 + 13b + 4) / (b + 4), we need to identify the value of 'b' for which the denominator (b + 4) becomes zero.

When the denominator becomes zero, the expression becomes undefined because division by zero is undefined in mathematics.

To determine the value of 'b' that makes the denominator zero, we set (b + 4) equal to zero and solve for 'b':

b + 4 = 0

By subtracting 4 from both sides, we have:

b = -4

Therefore, the value of 'b' that makes the denominator zero is -4. So, when 'b' is equal to -4, the expression (3b^2 + 13b + 4) / (b + 4) becomes undefined.