Question

Find the zeroes of the following quadratic polynomials and verify the relationship
between the zeroes and the coefficients.
(i) x2 - 2x.-8
(ii) 4s - 4s+ 1
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Answer 1

Step-by-step explanation:

l) x^2-2x-8

x^2+2x-4x-8

x(x+2)-4(x+2)

(x-4)(x+2)=0

x=4

x=-2

sum of the zeroes=-b/a

-2+4=2/1

2=2

product of the zeroes=c/a

4×-2=-8/1

-8=-8

ll). 4s^2-4s+1

4s^2-2s-2s+1

2s(2s-1)-1(2s-1)

(2s-1)(2s-1)=0

s=1/2

s=1/2

sum of the zeroes=-b/a

1/2+1/2=4/4

2/2=4/4

1=1

product of the zeroes=c/a

1/2×1/2=1/4

1/4=1/4