consider the quadratic function f(x) = –2x2 5x – 4. the leading coefficient of the function is?
the leading co-efficient of ax^2+bx+c is 'a'
so, for
–2x^2+ 5x – 4
it will be -2
Answer:
\(\text{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4\)
Step-by-step 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
\(\text{Hence, -2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4\)