Question

find a quadratic polynamial with the given numbers as the sum and product of its Zeroes respectively 1/3,-4/3.​

Answer 1

Answer:

Given, alpha + beta = 1/3

alpha × beta = -4/3

Then the polynomial is in the form,

x² - (alpha + beta)x + alpha × beta

x² - (1/3)x + -4/3 = 0

x² - x/3 - 4/3 = 0

3x² - x - 4 \ 3 = 0

Then the polynomial be,

3x² - x - 4

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