Factor x3 x2 x 1 by grouping. what is the resulting expression? (x2)(x 1) (x2 1)(x) (x2 1)(x 1) (x3 1)(x 1)

Mathematics

1 answer:

nika2105 [10]2 years ago

8 0

The result of factoring the expression x³ + x² + x + 1 by grouping is (x²+ 1)(x + 1)

<h3>How to factor the expression?</h3>

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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