Question

If the sum of the zeroes of the polynomial p ( x) = (k^2-14)x^2-2x-12 is 1 then find the

value of k​

Answer 1

Answer:

k = 4,-4

Step-by-step explanation:

p(x)=(k²-14)x²-2x-12

let p,q are roots of given polynomials

sum of roots is -b/a

p+q=-b/a=1

b is coefficient of x =(-2),a is coefficient of x²=(k²-14)

=>-(-2)/k²-14=1

=>k²=16

=>k=4