Question

find a quadratic polynomial, the sum and the product of zeroes are -1/4 and 1/4​

Answer 1

Answer:

$4 {x}^{2} + x + 1$

Step-by-step explanation:

The sum of zeroes is

$\frac{ - b}{a}$

So, -b/a=-1/4

Similarly,

Product of zeroes is

$\frac{ c}{a}$

So, c/a= 1/4

From these two equations,

It is visible that,

a=4

b=1

c=1

Hence the equation will be

$4 {x}^{2} + x + 1$