please see the picture and give me answer fully detailed step-by-step question 123 please give me answer thank you so much
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EXPLANATION
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1) x^2 + 2x + 1
using middle term split to factorise
x^2 + x + x + 1 = 0
x ( x + 1 ) + 1 ( x + 1 ) = 0
(x + 1 ) ^2 = 0
2) x^2 + 5x + 4
x^2 + 4x + x + 4 = 0
x ( x + 4 ) + 1 (x + 4) = 0
(x + 1 ) (x + 4) = 0
x = -1 and x = -4
3) x^2 + 12x + 36
x^2 + 6x + 6x + 36 = 0
x ( x + 6 ) + 6 ( x + 6) = 0
( x + 6 ) (x + 6 ) = 0
(x + 6 ) ^2 = 0
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