find a quadratic polynomial, the sum of whose zeros is 8 and thier product is 12. hence find the zeros of the polynomial pls tell
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hey!!
Let the quadratic polynomial be f (x) = ax2 + bx + c and its zeros be and
Then + = 8 = and = 12 =
If a = 1, then b = -8 and c = 12
Hence the quadratic polynomial is x2 - 8x + 12
Splitting the middle term, you get
x2 - 8x + 12 = (x - 6) (x - 2)
The zeros of f (x) are given by f (x) = 0
(x - 6) (x - 2) = 0
(x - 6) = 0 or (x - 2) = 0
x = 6 or x = 2
Hence the zeros of f (x) are: = 6 and = 2
I hope it helps...pls mark as brainliest
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