Q. 153.8( 24 Votes )

Find the quadrati

Answer :

Let the zero of the polynomial be α and β

According to the question,


α + β = 8


αβ = 12


f(x)= x2 – (α + β)x + (αβ)


=x2 - 8x + 12


required polynomial f(x) = x2 - 8x + 12


Put f(x) = 0


x2 - 8x + 12 = 0


x2 - 6x -2x + 12 = 0


x(x – 6) -2(x – 6) = 0


(x - 6)(x - 2)=0


x = 6 or x = 2


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