Find the quadratic function whose zeros are 2 and -2 and has maximum value

There are many things that would satisfy these conditions.

y = - a * (x - 2)(x + 2)
y = - a * (x^2 - 4)

a > 0 meaning that a must have a value greater than 0.

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*