Math, asked by harshu949950, 1 year ago

if 1,-1 are the sum and product of zeroes of a polynomial find the polynomial​

Answers

Answered by ItSdHrUvSiNgH
1

Step-by-step explanation:

\huge\underline{\underline{\sf ANSWER}} \\ let \:  \alpha  \: and \:  \beta  \: be \: roots \: of \: equation..... \\  \\  \alpha  +  \beta  = 1 \\  \\  \alpha  \beta  =  - 1 \\  \\   {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  = 0 \\  {x}^{2}  - x - 1 = 0

Answered by zyedshamsuddin
1

Answer:

 {x}^{2}  - x - 1

Step-by-step explanation:

 \alpha  +  \beta  = 1 \\  \alpha  \beta  =  - 1 \\  \\  {x}^{2}  - ( \alpha  +  \beta )x +  \alpha  \beta  \\  \\  {x }^{2}  - x - 1

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