Consider the function f(x) = 3x2 7x 2. what is the value of the discriminant? how many x-intercepts does this function have? what are the number of zeros for this function?

Respuesta :

The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

How to find the value of discriminant?

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

[tex]D=b^2-4ac[/tex]

The given quadratic function is,

[tex]f(x) = 3x^2 +7x+ 2[/tex]

Compare it with standard form, we get,

[tex]a=3\\b=7\\c=2[/tex]

Thus, the value of discriminant is,

[tex]D=(7)^2-4(3)(2)D=49-24\\D=25[/tex]

The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.

Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

Learn more about the discriminant here;

https://brainly.com/question/24730520

Answer:

The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

How to find the value of discriminant?

The standard form of the quadratic equation is,

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

The given quadratic function is,

Compare it with standard form, we get,

Thus, the value of discriminant is,

The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.

Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

Learn more about the discriminant here;

brainly.com/question/24730520

Step-by-step explanation: