Question

Find a quadratic polynomial in which the sum and product of zeroes are 1/4 and -1 respectively.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x² - x/4 - 1

Step-by-step explanation:

Sum of zeros,

• α + β = 1/4

Product of zeros,

• αβ = -1

Quadratic polynomial,

⇒ x² - (sum of zeros)x + product of zeros

⇒ x² - (1/4)x + (-1)

⇒ x² - x/4 - 1