Question

if alpha and beta are zeroes of a quadratic polynomial, find
$\beta \div a \beta + a \div a \beta + b$
can anyone help me with this?​

Answer 1

Answer:

If α and β are the zeroes of the polynomial ax2 +bx+c, find (i)α2-β2. (ii)α3-β3. check-circle. Text Solution. Solution : 1)α+β=-ba αβ=ca

Answer 2

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I

Sum of the roots=α+β. =−3

Product of the roots=αβ =6

α/β + α /β

= α ^2 +β ^2 / αβ

=(α+β) ^2 −2αβ / αβ

= (−3) ^2 −2×6 /6

= 9−12 /6 = −3/6 = −1 / 2

(ii)α ^2 +β ^2

=(α+β) 2 −2αβ

=(−3)^ 2 −2× 6

= 9−12

= −3

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