Find the sum of zeroes of the quadratic polynomial xsquare-9
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Sum of the zeroes is 0
Formula:
We consider any quadratic polynomial
f(x) = ax² + bx + c ..... (1)
If α and β be the zeros of f(x), we have
α + β = - b/a
αβ = c/a
Solution:
The given polynomial is (x² - 9)
Now, x² - 9
= x² + 0 * x + (- 9)
Comparing it with equation (1), we can write
p + q = - 0/1 = 0
pq = (- 9)/1 = - 9
where p, q are the zeros of (x² - 9)
Therefore the sum of the zeros of the given quadratic polynomial is 0.
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