Q.7. Find the sum and product of zeroes of the quadratic polynomial 2x2-7x+5 and verify the
results.
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2x²-7x+5=0
2x²-2x-5x+5=0
2x(x-1)-5(x-1)=0
(2x-5)(x-1)=0
2x-5=0 or x-1=0
x= 5/2 or x=1
We know that sum of zeroes is equal to -b/a
⇒5/2+1= -(-7/2)
⇒5+2/2=7/2
⇒7/2=7/2
We know that product of zeroes is equal to c/a
⇒5/2*1=5/2
⇒5/2=5/2
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