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

Answer:

discriminant: 241. Number of real zeros: 2

Step-by-step 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

Answer 2

Answer:

The discriminant of F is 241

F has 2 distinct real number zeros

Step-by-step explanation: