Consider the quadratic function f(x) = x² - 8x - 4. What is the value of the leading coefficient?

Solution:

We know that,

Formula to solve a quadratic equation of the form ax² + bx + c = 0 is

\(x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}\)

Given: f(x) = x² - 8x - 4

Now equate this function to zero

x² - 8x - 4 = 0

The values of a = 1, b = -8, c = -4

Therefore, the value of the leading coefficient is 1.

Consider the quadratic function f(x) = x² - 8x - 4. What is the value of the leading coefficient?

Summary:

The value of the leading coefficient for the quadratic function f(x) = x² - 8x - 4 is 1.