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Formation of a Quadratic Equation From It's Roots

The sum and p...

Question

The sum and product of zeroes of a quadratic polynomial $a x^{2} + b x + c$ respectively are and .

-ba

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-ca

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Solution

The correct options are
A -ba
B ca
For a quadratic polynomial $a x^{2} + b x + c$ ,
sum of roots = $\frac{- b}{a}$ , and
product of roots = $\frac{c}{a}$

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Similar questions

Zeroes of the quadratic polynomial ax² + bx + c and roots of the quadratic equation ax² + bx + c = 0 are__________

p (x) = a x^{2} + b x + c

\sqrt{2}

\frac{1}{3}

a > 0

α

β

p (x) = a x^{2} + b x + c (a \neq 0)

α + β =

a x^{2} + b x + c, c > 0

p (x) = a x^{2} + b x + c, α + β = 2

α β = - 8

α, β

p (x)

∴

a, b

c

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