Question

if a and ß are zeros of a polynomial x²+6x+9, then form a polynomial whose zeros are -a and -ß​

Answer 1

Answer:

x^2 -6x+9

Step-by-step explanation:

Given a and b are zeroes of a polynomial x^2+6x+9

x^2+6x+9=0

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

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

a=-3 and b=-3

-a=3 and -b=3

we can write the quadratic equation as x^2-(a+b)x+ab=0

so the polynomial x^2-6x+9=0