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5369855
Find the polynomial function with zeroes 7 and -4. Is this function unique?
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...
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