If sum and product of zeroes of quadratic polynomial are respectively 8 and 12 then find the quadratic polynomial and their zeroes
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Answered by
34
Answer:
Step-by-step explanation:
the quadratic polynomial be f (x) = ax^2 + bx + c and its zeros be
α+β =8, αβ =12
If a = 1, then b = -8 and c = 12
x^2 - 8x + 12 = (x - 6) (x - 2)
(x - 6) (x - 2) = 0
(x - 6) = 0 or (x - 2) = 0
x = 6 or x = 2
= 6 and = 2
Answered by
13
Answer:
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