Question

write quadritic polynomial whose zeros are root 3 and -root3

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Answer 1

Answer:

Given:

We have been given that the two zeroes of a quadratic polynomial are √3 and -√3.

To Find:

We need to find the quadratic polynomial.

Solution:

We can find the polynomial by the formulae:

k × [ x^2 + (α + β)x + αβ]

= k[ x^2 + {√3 + (-√3)}x + √3 × -√3]

= k[x^2 + (√3 - √3)x + (-3)]

= k[x^2 + 0x -3]

Therefore the polynomial is x^2 + 0x -3.

Answer 2

Answer :-

Sum of zeroes = 3 + (-3) = 0

Product of zeroes = 3 × (-3) = -9

quadratic polynomial = x^2 - (sum of zeroes) x + product of zeroes

= x^2 - 0×x -9

=x^2 - 9