Question

If a and b are the zroes of the polynomial f(x)=x2-1 find the quadratic polynomial whose zeroes are1a/b and 2b/a

Answer 1

Answer:

Step-by-step explanation:

the zeroes of the polynomial x^2 - 1 are a = - 1 and b = 1. Then a/b = - 1 and 2b/a = -2. thus means that

a/b + 2b/a = - 3 and that

(a/b)(2b/a) = 2. the quadratic polynomial whose zeroes are a/b and 2b/a is given by :

x^2 + 3x + 2 = 0.