F(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?
1 answer:
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is
, where the quadratic is in the form
. The discriminant of this one is therefore:
![2^2-4(4)(6)=4-96=-92](https://tex.z-dn.net/?f=2%5E2-4%284%29%286%29%3D4-96%3D-92)
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
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