Alpha=2 beta=3 find the polynomial whoes zeroes are given as under
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Answer:x^2+6x+3
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Secondary School Math 5+3 pts
If alpha =2, beta =3 are zeroes of polynomial x2-5x +6 then find the polynomial whose zeroes are 1 divide alpha and 1 divide beta
by VishnurajD 06.04.2018
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Panzer786
Panzer786Maths AryaBhatta
Hii friend,
P(X) = X²-5X+6
Alpha = 2
Betaine = 3
Therefore,
1/Alpha = 1/2
And,
1/Beta = 1/3
Alpha+Beta = 1/2+1/3 = 3+2/6 = 5/6
Alpha×Beta = 1/2×1/3 = 1/6
Therefore,
Quadratic polynomial = X²-(Alpha+Beta)X+ Alpha × Beta. = X²-(5/6)X+1/6
= X²-5X/6 + 1/6 = 0
= 6X² -5X+1 = 0
HENCE,
THE REQUIRED POLYNOMIAL = 6X²-5X+1
Please mark me as brilliant
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