Question

why the quadratic polynomial have exactly two zeros​

Answer 1

Answer:

exactly 2 zeros. A quadratic polynomial have at most two zeros because the degree of x is 2.

Answer 2

Answer:

Therefore, remember that a quadratic polynomial (we assume that the coefficients are real) will always have two zeroes, but the nature of the zeroes depends on the coefficients: The two zeroes might be real and distinct. The two zeroes might be real and identical. The two zeroes might not be real numbers.