Question

Find the quadratic polynomial whose sum and product of zeros are

i) 1/4, -1 ii) 4, 1​

Answer 1

Answer:

(i) 1/4,4

Let the polynomial be p(x)=a x^2+bx+c

sum of zeroes =1/4

-b/a=1/4

assuming a=1

-b/1=1/4

b= -1/4

now a=1,b= -1/4 and c= -1

your answer is c=-1