Question

if α and β are the zeros of the polynomial x^2+6x+9, then find the polynomial whose zeros are -α and -β.

Answer 1

Answer:

Step-by-step explanation:x^2+6x+9=0

x^2+3x+3x+9=0

x(x+3)+3(x+3)=0

x+3=0,x+3=0

x=-3,x=-3

Answer 2

Answer:

x^2-6x+9

Step-by-step explanation:

x^2+6x+9=0

=>x^2+3x+3x+9=0

=>x(x+3)+3(x+3)=0

=>(x+3)(x+3)=0

=>x=-3,-3

for required polynomial,

-alpha= 3

-beta=3

new polynomial= x^2-6x+9