Question

Factorize:-
2x² + 2x + 2
​

Answer 1

2x^2+2x+2

=x^2+x+1

x=-b+_√b^2-4ac/2a

=-1+_√1^2-4×1×1/2×1

=-1+_√1-4/2

=-1+_√-3/2

=-1+_3i/2. [√-1=i]

x=-1+3i/2,,,,,,-1-3i/2

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Answer 2

2x²+2x+2

2(x²+x+1)

2{x²+2x+1-(√x)²}

2{(x+1)²-(√x)²}

Using identity a²-b²=(a+b)(a-b)

Where a=(x+1) and b=√x

2{(x+1+√x)(x+1-√x)}

Your Answer=2{(x+1+√x)(x+1-√x)}