Question

if the sum of the quadratic polynomial p(x)=(k^2-14)x^2-2x-4 is 1,then find the value of k.also find the zeros of this polynomial​

Answer 1

Answer:

if the sum of the quadratic polynomial p(x)=(k^2-14)x^2-2x-4 is 1,then find the value of k.also find the zeros of this polynomial

Answer 2

Answer:

Step-by-step explanation:

p(x)=(k²-14)x²-2x-4

sum of zeros

2/(k²-14)=1

k²-14=2

k²=16, k=±4

P(x) =(16-14)x²-2x-4

2x²-2x-4

=2x²-4x+2x-4

=2x(x-2)+2(x-2)

=(x-2)(2x+2)

x=2

and 2x+2=0

x=-1

Thus the zeros are -1 and 2