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Sum and Product of Roots of a Quadratic Equation

The sum and t...

Question

The sum and the product of the zeros of a quadratic polynomial are 3 and -10 respectively. The quadratic polynomial is

(a) $x^{2} - 3 x + 10$ (b) $x^{2} + 3 x - 10$ (c) $x^{2} - 3 x - 10$ (d) $x^{2} + 3 x + 10$

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Solution

sum of roots = 3 = S

product of roots = -10 = P

now, the required quadratic polynomial is given by,

p (x) =

=
option c is correct

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Sum and Product of Roots of a Quadratic Equation

Standard X Mathematics

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