How many zeroes can the polynomial 2x2−3x+4 have?

Answer 1

A polynomial of degree 2 can have 2 real zeros, 1 real zero, or no real zeros

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Answer 2

Hi Leticia,

The short answer: the number of roots is equal to the number of the highest degree. (In this case, it's two.)

Want details? Watch this video I made for you! And let me know if I can be of any further help.

My best,

Kelsey P.

Answer 3

Because this is a quadratic equation, it could have 0, 1 or 2 real zeros. The easiest way to determine the number of real zeros is to graph it and see how many x intercepts it has. The number of real zeros is equal to the number of x intercepts.

When you graph this equation you can see it doesn't have any x intercepts, therefore there are 0 real zeros. There are, however, 2 imaginary zeros.

Feel free to use this site to graph it and see! https://www.desmos.com/calculator