factor of x^3-3x^2+3x+7
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x^3 - 3x^2 + 3x + 7
= x^3 +( x^2 - 4x^2) + (-4x + 7x) + 7
= x^3 + x^2 - 4x^2 - 4x + 7x + 7
= x^2 (x+1) - 4x(x+1) + 7 (x+1)
= (x+1)(x^2 - 4x + 7)
= x^3 +( x^2 - 4x^2) + (-4x + 7x) + 7
= x^3 + x^2 - 4x^2 - 4x + 7x + 7
= x^2 (x+1) - 4x(x+1) + 7 (x+1)
= (x+1)(x^2 - 4x + 7)
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