A quadratic polynomiyal whose zeros are 1 and -3 is
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Answer:
x² +2x -3=0 is the answer ok :)
Step-by-step explanation:
Given that,
Zeroes of the quadratic polynomial are 1 and 1-3
Let,
α = 1
ß = (-3)
Sum of the zeroes => α + ß
=> 1 + (-3)
=> -2
Product of the zeroes => α x ß
=> 1 x (-3)
=> -3
quadratic equation general form :-
k(x² - (α + ß)x + αß )= 0 ------------------ (where k is constant)
=> k ( x² - (-2)x + (-3) ) =0
=> k ( x² +2x -3 ) =0
∴A quadratic polynomiyal whose zeros are 1 and -3 is x² +2x -3=0
Hence solved :)
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