Question

Find a quadratic polynomial with the given numbers as the sum and product of zeroes

respectively: ¼ and -1/4.​

Answer 1

Answer :

4x² - x - 1

Step-by-step explanation :

⇒ Sum of zeroes = 1/4

⇒ Product of zeroes = -1/4

The quadratic polynomial is of the form :

k[x² - (sum of zeroes)x + (product of zeroes)

k[x² - (1/4)x + (-1/4)

k[x² - x/4 - 1/4]

$k[\frac{4x^2-x-1}{4} ] \\\\ put \ k = 4, \\\\ 4[\frac{4x^2-x-1}{4} ] \\\\ 4x^2-x-1$