Question

find the quadratic polynomial sum of whose zeroes is 1/4and product is -1​

Answer 1

Answer:

The given roots are 4 and 5.

Sum of the roots, S=4+5=9.

Product of the roots, P=4×5=20.

We know that, the required equation is x

2

−x(S)+P=0

Therefore, we get the equation to be x

2

−9x+20=0

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