Question

21.
If one zero of the polynomial p(x) = x2 - 6x + k is twice the other the
find the value of k​

Answer 1

Step-by-step explanation:

let one zero be 'm'

then another zero will be '2m'

sum of zeroes = 2m+m = 3m

therefore -b/a = 3m

= -(-6)/1= 3m

= 6 = 3m

so, m= 2

product of zeroes is m× 2m = 2m²

therefore, c/a = 2m²

k/1 = 2(2)²

k = 8