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The result of factoring the expression x³ + x² + x + 1 by grouping is (x²+ 1)(x + 1)
The expression is given as:
x³ + x² + x + 1
Group the terms of the expression in 2's
x³ + x² + x + 1 = x²(x + 1) + 1(x + 1)
Factor out x + 1 in the expression
x³ + x² + x + 1 = (x²+ 1)(x + 1)
The above means that the result of factoring the expression x³ + x² + x + 1 by grouping is (x²+ 1)(x + 1)
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