Question

find a quadratic polynomial whose sum and product of its zeroes are

.​

Answer 1

Answer:

α+β=4

αβ=1                                                            

=k(x²-(α+β)x+αβ)

=k(x²-4x+1)

polynomial is x²-4x+1  

k=1

OR

α+β=4

αβ=1

required polynomial=k(x²-(α+β)x+αβ)

                              =k(x²-4x+1)

required polynomial is x²-4x+1 where k=14

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