from a quadratic polynomial whose sum of zero is 8 and product of zeroes 15
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Answer:
x² - 8x + 15
Step-by-step explanation:
Sum of Zeroes (S) = 8
Product of Zeroes (P) = 15
f(x) = x² - (S)x + (P)
f(x) = x² - (S)x + (P)f(x) = x² - 8x + 15 Ans.
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The formula for obtaining quadratic polynomial is
x²- (a+b)x + (ab) = 0 (1)
It can also be written as
x²- (b/a)x + c/a = 0 (2)
Here a+b=8 & a×b=15
Putting value of (a+b) & (a×b) in equation(1) we get our required quadratic equation
x²-8x+15 = 0
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