Find the guadratic polynomial whose zeros are -9 and 1/-9
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Answer:
K [9x² + 82 + 9]
Step-by-step explanation:
α = -9
β = -1/9
α + β = -9 + (-1/9)
= -82/9
αβ = -9 * (-1/9)
= 1
Polynomial = K [x² - (α+β)x + αβ]
K here is a constant
==: K [x² - (-82/9)x + 1]
==: K [x² + 82x/9 + 1]
==: K [9x² + 82 + 9]
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