Question

F(x)=3x 2 +24x+48f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 24, x, plus, 48 What is the value of the discriminant of fff? How many distinct real number zeros does fff have?

Answer 1

Answer:

The discriminant of function is 0. There one distinct real number zero of $f(x)$(repeated roots).

Step-by-step explanation:

We are given the following function in the question:

$f(x)=3x^2 +24x+48$

We have to calculate the discriminant of the function.

Comparing to

$f(x) = ax^2+bx+c$

We get,

$a = 3\\b=24\\c = 48$

Discriminant is given by:

$D = b^2-4ac$

Putting values, we get,

$D = (24)^2-4(3)(48) = 0$

Thus, the discriminant of function is 0.

Since, the discriminant is zero, the function have repeated real roots. Thus, one distinct real number zero of $f(x)$.