Question

write the cubic polynomial whose zeros are first three natural numbers ​

Answer 1

Answer:

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Answer 2

Answer:

The given zeros are −3,−1 and 2

So, the factors of the polynomial are (x−(−3)),(x−(−1)) and (x−2)

Then the polynomial

P(x)=(x−(−3))(x−(−1))(x−2)

=(x+3)(x+1)(x−2)

=(x

2

+4x+3)(x−2)

=x

3

−2x

2

+4x

2

−8x+3x−6

=x

3

+2x

2

−5x−6

Hence, the polynomial is x

3

+2x

2

−5x−6