Question

the number of polynomials having zeros 2 and 1 is

Answer 1

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Answer 2

Answer:

From the given polynomial will have 2 and 1 as zeros.

p(x) = (x -2)(x - 1)

So the scale that by any non-zero constant, it will also have the same zeros.

p(x) = a(x -2)(x - 1)

According to the equation they are having infinitely many possible values of 'a', there are infinitely many polynomials.

Therefore A polynomial has  α  as a zero if and only if (x−α) is a factor of the polynomial.