If α and βare zeroes of the given polynomial f(x) = x2+6x+9 , then find the value of
(α +2)(β+2)
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Step-by-step explanation:
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(α +2)=-1 (β+2)= -1
Step-by-step explanation:
x2+6x+9
Sum = 6
Product =( 3,3 )
=>x2+3x+3x+9
=>x(x+3) +3(x+3)
=>(x+3)(x+3)
x=-3 x=-3
x= zeroes of polynomial = α or β
α = -3 β= -3
α = -3 +2 = -1 β= -3 +2 = -1
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