A quadratic polynomial whose one zero is 6and sum of zero is 0 find polynomial
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Let that quadratic be :
ax² + bx + c ______ ( I )
A/C to question,
It's one root is 6 & sum of roots is 0.
So, put x = 6 in ( I )
36a + 6b +c = 0 _________ ( Il )
& Sum of roots = -b/a
let it's other root be "p"
6 + p = -b/a
6 + p = -b/a = 0. (given)
So, b must be "0"
Hence, it's other root p = -6.......
So, required Quadratic is
(x - 6)(x + 6) = 0
x² - 36 = 0 ____________( Ans. )
Hope it helps m
^_^
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