F (x) = 4x² - 17x+3

What is the value of the discriminant of f?

How many distinct real number zeros does f have?

discriminant: 241

2 real roots

Step-by-step explanation:

The discriminant is the part of the quadratic equation that is under the sqare root

x = (-b±√ (b²-4ac)) / 2a

discriminant: b²-4ac

We also know that a quadratic equation is in the form ax²+bx+c = 0, so we can plug in the values we know from our equation to find the discriminant.

a=4

b=-17

c=3

(-17) ^2-4 (4) (3)

We also know that if the discriminant

is positive we have 2 real roots

is 0 we have 1 real root aka a repeated real solution

is negative we have no real roots