Question

how many polynomials we can have whose zeroes are 2 and -1​

Answer 1

SOLUTION

TO DETERMINE

The number of polynomials we can have whose zeroes are 2 and - 1

EVALUATION

Here the given zeroes are 2 and - 1

Then the general equation of the polynomial is

$\sf p(x) = a {(x - 2)}^{m} {(x + 1)}^{n}$

Where a ≠ 0 and 2 is a zero of the polynomial of multiplicity m , - 1 is a zero of the polynomial of multiplicity n

Thus there are infinite number of polynomials having zeroes as 2 and - 1

FINAL ANSWER

The number of polynomials we can have whose zeroes are 2 and - 1 is infinite

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