(x - 1)*(x + 1)*(x2 + 1)
or, in the complex field, even more completely as:
(x - 1)*(x + 1)*(x - i)*(x + i)
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p3(p + 1)(p + 12)
(x2 + 1)(x2 - 2)
do you mean x2 + 3x + 2 ? Factors are (x +2)(x+1)
A trinomial will be completely factorised when it has three terms involving the unknown to the power of 1. eg x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3) eg x³ - 3x² + 2x = x(x - 1)(x - 2) eg x³ - x² = x²(x - 1) = x(x - 1)x
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