find the quadratic polynomial whose zeroes are -3 and 2 respectively
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Answer:
alpha= -3 and beta=2
x2+x-6
Step-by-step explanation:
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Given :-
Zeroes are -3 and 2
To Find :-
quadratic polynomial
Solution :-
At first we need to find sum and product of zeroes
Sum = -3 + 2
Sum = -1
Product = -3 × 2
Product = -6
Now,
Standard form of quadratic polynomial = x² - (α + β)x + αβ
quadratic polynomial = x² - (-1)x + (-6)
quadratic polynomial = x² + 1x - 6
quadratic polynomial = x² + x - 6
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