Question

Consider the quadratic function f(x) = –2x2 5x – 4. the leading coefficient of the function is?

Answer 1

the leading co-efficient of ax^2+bx+c is 'a'

so, for
–2x^2+ 5x – 4
it will be -2

Answer 2

`\text{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4`

Explanation:

Given the quadratic function

`f(x)=-2x^2+5x-4`

we have to find the leading coefficient of given quadratic equation.

`\text{The general form of quadratic equation is }ax^2+bx+c=0`

The coefficient of
`x^2` i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2

`\text{Hence, -2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4`