Question

coefficients:

2: Find the quadratic polynomial, the sum of whose Zeroes is R and their product is -12. Hence, find the zeroes y the polynomial.​

Answer 1

Answer:

x²-R-12

Step-by-step explanation:

Let the zeroes of the polynomial be a and b.

so according to question a+b=R......(1)

and ab = -12......(2)

so formula for quadratic equation when the sum and product of its zeroes are given is

x²-(a+b)x+ab

filling the values of a+b and ab from (1) and (2)

x²-(R)+(-12)

x²-R-12

so the value of R can be any real number like 1,2,3,4...etc