factorize the polynomial x³+x²+2x+2
polaris:
Taking x^2 common factor;we get --- x^2(x+1)+2x+2
i.e. x^2(x+1)+2(x+1)
Therefore, (x^2+2)(x+1)
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x³+x²+2x+2
=x²(x+1)+2(x+1)
=(x²+2)(x+1) [by taking (x+1) as common]
=x²(x+1)+2(x+1)
=(x²+2)(x+1) [by taking (x+1) as common]
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