Question

find the quadratic polynomial whose sum and product of its zeros are 1 by 4and -1 respectively​

Answer 1

Answer:

4x2-x-4 is the required quadratic equation

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