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If and are the zeroes of the quadratic polynomial ax^2+bx+c,

Question

If $α$ and $β$ are the zeroes of the quadratic polynomial $a x^{2} + b x + c$ , then $α + β = \frac{- b}{a}$ & $α β = \frac{c}{a}$ .

True

False

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Scarlett Discussed

α

and

β

are the zeroes of the quadratic polynomial

a x^{2} + b x + c

, then

α + β = \frac{- b}{a}

α β = \frac{c}{a}

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Text solutionVerified

α

and

β

are the zeroes of the quadratic polynomial, then

a α^{2} + b α + c =

0 and

a β^{2} + b β + c =

0

or,

a α^{2} + b α

-

a β^{2} - b β =

0

Then,

α + β = \frac{- b}{a}

and

α β = \frac{c}{ab}

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Question Text	If $α$ and $β$ are the zeroes of the quadratic polynomial $a x^{2} + b x + c$ , then $α + β = \frac{- b}{a}$ & $α β = \frac{c}{a}$ .
Answer Type	Text solution:1
Upvotes	150