Question

5. Find the quadratic polynomial whose zeroes are 7 + root3 and 7 - root 3 .

Class 10

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Answer 1

Let the zeroes of the polynomial be a and b.

Given Zeroes of the Quadratic polynomial are $7 + \sqrt{3}, 7 - \sqrt{3}$

Therefore the required quadratic polynomial is:

$= \ \textgreater \ x^2 - (a + b)x + (ab)$

$= \ \textgreater \ x^2 - (7 + \sqrt{3} + 7 - \sqrt{3} )x + (7 + \sqrt{3} )(7 - \sqrt{3} )$

$= \ \textgreater \ x^2 - 14x + (49 - 3)$

$= \ \textgreater \ x^2 - 14x + 46$



Hope this helps!