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Find the zeros of these polynomials and ...

Find the zeros of these polynomials and verify the relationship between zeros and coefficients.
i] `f(x) = x^(2) - (sqrt(3) + 1) x + sqrt(3)`
ii] `f(v) = v^(2) + 4 sqrt(3) v - 15`
iii] `q(y) = 7y^(2) (11)/(3) y - (2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
i] `(c)/(a)`
ii] `alpha beta = - 15 = (c)/(a)`
iii] `alpha beta = (2)/(3) xx (-1)/(7) = (-2)/(21) = (c)/(a)`
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ZEN PUBLICATION-POLYNOMIALS-ZEN ADDITIONAL QUESTIONS ( Short answer [SA] type I questions )
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  18. Find a if one zero of (a^(2) +9) x^(2) + 13x + 6a is a reciprocal of...

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