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Formation of a Quadratic Equation From It's Roots

9. if alfa an...

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9. if alfa and beta are the zeros of the polynomial (x-p) (x-q) - r the people and q would be the zeros of which polynomial?

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Q. If alpha and ß are zeroes of polynomial x²+6x+9, then form a quadratic polynomial whose zeroes are -alpha, -ß.

α

β

are the zeros of the polynomial

(x - p) (x - q) - r

p

q

would be the zeros of the polynomial

Q. If α and β are the zeros of the polynomial f(x) = x² + px + q, from a polynomial whose zeros are (α + β)² and (α − β)².

α

β

are the zeros of the quadratic polynomial

f (x) = x^{2} - 1

, find a quadratic polynomial whose zeros are

\frac{2 α}{β}

\frac{2 β}{α}

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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