Math, asked by mohansarla48, 1 month ago

find the quadratic polynomial of the sum and product of whose zeroes sre -3 and 2​

Answers

Answered by abhayshandilya645
1

Answer:

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Answered by chiggi2k03
0

Answer:

Let the polynomial be

  p(x) = ax² + bx + c

⇒ Sum of zeroes = -3                                

⇒     - b/a = - 3                                                              

   Assuming a = 1                                                    

⇒  - b / 1 = - 3                                                                

∴       b = 3                                                                              

⇒ Product of zeroes = 2

⇒ c/a = 2

    Assuming a = 1

⇒ c / 1 = 2

∴    c = 2

Now a = 1 , b = 3 and c = 2

So the required quadratic polynomial will be

                            = ax² + bx + c

                            = (1)x² + (3)x + 2

                            = x² + 3x + 2

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