6. Find the quadratic polynomial whose zeroes are -2 and -5. Verify the relationship between zeroes and coefficients of the polynomial. step by step explanation needed
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Answer:
K [ x² + 7x + 10 ]
Step-by-step explanation:
Zeroes = -2 and -5
Sum (α + β) = -7
Product (αβ) = 10
Polynomial = K [ x² - (α+β)x + αβ ]
(K here is a constant)
== K [ x² + 7x + 10 ]
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