Question

Find the zeroes of the quadratic polynomial x2 + 8x + 16 and verify the relationship between the zeroes and the coefficients.

Answer 1

Step-by-step explanation:

x2+8x+16

x2+4x+4x+16

x(x+4)+4(x+4)

(x+4)(x+4)

x=-4andx=-4

verify

sum of zeros =(α+β)=-b/a

-4+(-4)=-8/1

-8=-8

product of zeros =(α.β)=c/a [. means multiple]

-4.-4=16/1

16=16