Consider the quadratic function f(x) = -2x² + 5x - 4. The leading coefficient of the function is

Solution:

Given, the quadratic function is f(x) = -2x² + 5x - 4.

We have to find the leading coefficient of the function.

From the given function,

The leading term in a function is the term with the highest degree.

Leading term = -2x² and its coefficient is -2.

Therefore, the coefficient of the leading term = -2.

Example: Consider the quadratic function f(x) = 3x⁴ + 5x² + 3x - 4. The leading coefficient of the function is

Solution:

Given, the quadratic function is f(x) = 3x⁴ + 5x² + 3x - 4.

We have to find the leading coefficient of the function.

From the given function,

The leading term in a function is the term with the highest degree.

Leading term = 3x⁴ and its coefficient is 3.

Therefore, the coefficient of the leading term = 3.

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Consider the quadratic function f(x) = -2x² + 5x - 4. The leading coefficient of the function is

Summary:

The leading coefficient of the quadratic function f(x) = -2x² + 5x - 4 is -2.