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the number of polynomials having zeros 2 and 1 is
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Answer:
x² - 3x + 2
one quadratic polynomial
otherwise Infinite
Step-by-step explanation:
the number of polynomial having zeros 2 and 1
The number of polynomials having zeros 2 and 1 is
f(x) = (x-2)(x-1)
= x² - 2x - x + 2
= x² - 3x + 2
below polynomials will also have zeroes as 1 & 2
(x-2)(x² - 3x + 2) , (x-1)(x² - 3x + 2) , (x-2)(x-1)(x² - 3x + 2)
in this way infinite polynomial can be generated multiplying by (x-1) , (x-2) or both
but there will be only one quadratic polynomial
x² - 3x + 2
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