Question

determine the discriminant. then use the discriminant to determine the number of x-intercepts for function.

$g(x) = -x^2 - 6x - 5$

part 1 of 2

the discriminant is .

Explanation:

Step1: Recall discriminant formula

For a quadratic function \(ax^2 + bx + c\), discriminant \(D = b^2 - 4ac\).

Step2: Identify coefficients

In \(g(x)=-x^2 - 6x - 5\), \(a = -1\), \(b = -6\), \(c = -5\).

Step3: Calculate discriminant

Substitute into formula: \(D = (-6)^2 - 4\times(-1)\times(-5)\)
\(= 36 - 20\)
\(= 16\)

Answer:

16