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Question

Find the sum of zeroes and product of zeroes for the given polynomials:
(i) -7x2​ + 5x -4
(ii) 2x2​ + 8x + 2

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Solution

Dear student,

(i) -7x2 + 5x - 4 Dividing the polynomial by -7, x2 - 57x +47 ........(1)the standard form of quadratic equation is x2- (Sum of zeroes)x + Product of zeroes comparing it with eqn (1)sum of zeroes=57Product of zeroes=47ii)2x2 + 8x + 2 Dividing the polynomial by 2, x2 -(-4)x +1 .....(1)the standard form of quadratic equation is x2- (Sum of zeroes)x + Product of zeroes comparing it with eqn (1)sum of zeroes=-4Product of zeroes=1
Regards

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