Question

Find the polynomial function with zeroes 7 and -4. Is this function unique?

Answer 1

if ß is a zero of a polynomial, then (x-ß) is a factor of the polynomial
so in this case [x - 7] and [x - (-4)] i.e. [x + 4] are the factors of the polynomial
so the polynomial p(x) = [x - 7][x + 4] = x² - 7x + 4x - 28 = x² - 3x - 28

no this function is not unique because all polynomials of the form k(x² - 3x - 28), where k is a real number, will have the same zeros and hence there can be infinite such functions...

Answer 2

Thank you very much! :)

Answer 3

u r welcome....☺