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Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients: (i) (ii)
(iii)
(iv)
(v)
(vi)
Therefore, the zeroes are -2 and 4
Verification:
α= -2 β=4
α+β= -
-2+4=-(-2)
2=2
verified.
αβ= constant term/ coefficient of
, verified.
Therefore the zeroes are
Verification:
α= β=
α+β= -
1=1, verified
αβ= constant term/ coefficient of
verified
Therefore the zeroes are
Verification:
α= β=
α+β= -
Hence verified.
αβ= constant term/ coefficient of =
Therefore the zeroes are 0 and -2
Verification:
α= 0 β= -2
α+β= -
, Verified
αβ= constant term/ coefficient of
, verified.
Therefore the zeroes are
Verification:
α= β=
α+β= -
verified.
αβ= constant term/ coefficient of
=
verified.
Therefore the zeroes are
verification:
α= β= -1
α+β= -
, verified
αβ= constant term/ coefficient of
, verified.
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:
(i) (ii)
(iii)
(iv) 1, 1 (v)
(vi) 4, 1
(i) Let the required polynomial be ax² + bx + c, and let its zeroes 
and 
α+β=
αβ =
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