Mark M. answered • 08/07/18

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If α and β are roots of the equation then (x - α) and (x - β) are factors of the polynomial.

This is always true.

For the last statement, the factors are (x - α) and (x - β), as stated above.

Then the polynomial is (x - α)(x - β) = 0

Now multiply that out and you shall see the equation given.