# Solve the following polynomial equati

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Solve the following polynomial equation for x : x^2 - 2( a+2)x + (a + 1)(a + 3).

• Solve the following polynomial equati -

Well, since the product of the roots is (a+1)(a+3) my first guess would be

(x-(a+3))(x-(a+1))
= x^2 - (a+1)x - (a+3)x + (a+1)(a+3)
= x^2 - (2a+4)x + (a+1)(a+3)
= x^2 - 2(a+2)x + (a+1)(a+3)

ta-daaa.

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