Question

F(x) = 4x^2-17x+3f(x)=4x

2
−17x+3f, left parenthesis, x, right parenthesis, equals, 4, x, squared, minus, 17, x, plus, 3
What is the value of the discriminant of fff?
How many distinct real number zeros does fff have?

Answer 1

The discriminant of F is 241

F has 2 distinct real number zeros

Explanation:

Answer 2

discriminant: 241. Number of real zeros: 2

Explanation:

We have that
`f(x)=4x^2-13x+3`. Given a function
`g(x) = ax^2+bx+c` the amount
`b^2-4ac` is called the discrimant.

The number of zeros is determined by the value of the discriminant. Let us call the discriminant D. Then, if D=0, the function has only one real zero. If D>0 then the function has two different real zeros and if D<0 then the function has no real zeros.

In our case we have that a =4, b=-17 and c=3. Then
`D =(-17)^2-4\cdot 4 \cdot 3 = 241>0`

Then it has 2 real zeros