Factor x cubed plus x squared plus x plus 1 by grouping. What is the resulting expression?

Group the terms in pairs: (x³ + x²) + (x + 1). Factoring each pair gives x²(x + 1) + 1(x + 1), so the common factor is (x + 1), leaving (x² + 1)(x + 1). This matches the expression “(x squared plus 1) times (x plus 1).”

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