Question

Hey friends plzzz help in the one question .....

Find a quadratic polynomial is with the given numbers as the sum and product of its zeros respectively

$\frac{1}{4} \: comma\: - 1$

Answer 1

Answer:

4x² - x - 4

Step-by-step explanation:

Given, Sum of zeroes = (1/4).

Given, product of zeroes = -1.

Required Quadratic polynomial = x - (Sum of root)x + Product of roots = 0

⇒ x² - (1/4)x + (-1) = 0

⇒ 4x² - x - 4 = 0.

Therefore, Required quadratic polynomial = 4x² - x - 4 = 0.

Hope it helps!