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find the zeroes of the quadratic polynomials 8x²-3x and verify the relationship between the zeroes and the coefficients. |
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Answer» Step-by-step explanation: 2 −4 = 4(( 2
x) 2 −(1) 2 ) =4( 2
x+1)( 2
x−1) to find the zeroes, Let f(x)=0 ( 2
x+1)( 2
x−1)=0 (√2x+1)=0 or (√2x−1)=0 x= 2
(−1)
or x= 2
1
So the zeroes of f(x) are 2
−1
and x= 2
1
Again Sum of zeroes = 2
−1
+ 2
1
= 2
(−1+1)
=0= a −b
= (coefficient of x 2 ) (−coefficient of x)
Product of zeroes = 2
−1
× 2
1
= 2 −1
= 8 −4
= a c
= coefficient of x 2
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