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Solving Using Quadratic Formula When D>0

The zeros of ...

Question

The zeros of the polynomial $x^{2} - 2 x - 3$ are

A

(a) -3, 1

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B

(b) -3, -1

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C

(c) 3, -1

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D

(d) 3, 1

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Solution

The correct option is C
(c) 3, -1

$w h e n a x squared plus b x plus c equals 0 t h e n x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction i n space t h e s e space q u e s t i o n x squared minus 2 x minus 3 equals 0 a equals 1 comma b equals negative 2 comma c equals negative 3 p u t space i n space t h e space a b o v e space e q u a t i o n x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction space space space equals fraction numerator 2 plus-or-minus square root of 4 minus 4 x 1 x minus 3 end root over denominator 2 x 1 end fraction space space space equals fraction numerator 2 plus-or-minus square root of 4 plus 12 end root over denominator 2 end fraction space space space space equals fraction numerator 2 plus-or-minus square root of 16 over denominator 2 end fraction space space space space space equals fraction numerator 2 plus-or-minus 4 over denominator 2 end fraction x equals fraction numerator 2 plus 4 over denominator 2 end fraction o r fraction numerator 2 minus 4 over denominator 2 end fraction space space space space space equals 3 space o r minus 1 s o space o p t i o n space c space i s space c o r r e c t$

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