fins the polynomial whose zerose are -2/3 and 3/2 .
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Step-by-step explanation:
> f(x) = k[x² - (A + B)x + AB]
Given that, two zeros are 3 and -2
Therefore,
Sum of the zeros (A + B) = 3 + (-2)
= 1
And,
Product of the zeros (AB) = 3*(-2)
= - 6
Therefore,
Required Polynomial,
f(x) = k[x² - 1x + (-6)]
f(x) = k[x² - x - 6]
Let k be 1,
So,
f(x) = x² - x - 6
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