Question

Find the quadratic polynomial with zeroes 2 and -⅓​

Answer 1

Answer:

Given the zeroes of the polynomial are 2 and -1/3

Let alpha = 2 and beta = -1/3

alpha + beta = 2 + -1/3

= 2 - 1/3 = 6 - 1/3 = 5/3

alpha × beta = 2 × -1/3 = -2/3

Then the polynomial is of the form

x² - ( alpha + beta) × x + ( alpha × beta ) = 0

x² - 5/3 × x + -2/3 = 0

x² - 5x/3 - 2/3 = 0

3x² - 5x - 2/3 = 0

So the polynomial be

3x² - 5x - 2

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Answer 2

Step-by-step explanation:

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