Question

Find a quadratic polynomial, the sum and
product of whose zeros are 1/4 and -1/8 ? respectively?
។​

Answer 1

Given : Sum of the zeroes       = (-1/4)  

           Product of the zeroes = 1/4  

We know that, if we have sum and product of zeroes then, we can find the quadratic equation by putting the value of sum and product of zeroes.  

∴,  

p(x) = x^2 - (Sum of zeroes)x + (Product of zeroes)  

p(x) = x^2 - (-1/4)x + (1/4) = 0  

p(x) = x^2 + x/4 + 1/4 = 0  

p(x) = 4x^2 + x + 1/4 = 0  

p(x) = 4x^2 + x + 1 = 0  

Hence, the required quadratic equation or polynomial is 4x^2 + x + 1.  

I hope it helps you.

And if you think my answer is good please mark me as brainliest.