Question

Find the zeroes of the polynomial 2x^2-7x+3 and hence find the sum and product of its zeroes

Answer 1

Given Quadratic Equation ;

2x^2 -7x +3 =0

If we factorize it , we get

2x^2-x-6x+3=0

x(2x-1)-3(2x-1)=0

(x-3)(2x-1)=0

x-3= 0 (or) 2x-1=0

x=3 (or) x =1/2

So, sum of zeroes = 3+ 1/2=7/2

product of zeroes = 3×1/2=3/2

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Answer 2

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