Polynomial =4x2-4x-3 find zeroes and verify the relationship
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Split the middle term
4x2+2x-6x-3
=2×2x×x+2x -2×3x -3
=2x(2x + 1) -3(2x+1)
take 2x+1 common
=(2x+1)(2x-3)
to find the zeroes of the polynomials
(2x+1)(2x-3)=0
2x+1=0. or. 2x-3=0
2x = -1. or. 2x =3
x= -1/2 or x= 3/2
These r ur zeroes.
Verification :-
Sum of zeroes = -b/a
= 3/2 + -1/2 = 2/2 = 1 = -b/a = 4/4 = 1
Product of zeroes = c/a
= 3/2 × -1/2;= -3/4 = c/a = -3/4 .
Hence , verified :》
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