Question

find a quadratic
polynomial whose sum and product of its zeroes are 1/4and -1 respectively.​

Answer 1

Answer:

kx^2-x/4-1

This is the quadratic polynomial

Answer 2

1/4, - 1

Using the quadratic equation formula,

x² −(Sum of root)x+(Product of root)=0

Substitute the value in the formula, we get

x² - 1/4x - 1 =0

4x² - x - 4 = 0