factor $x^{3}+x^{2}+x + 1$ by grouping. what is the resulting expression?\n$(x^{2})(x + 1)$\n$(x^{2}+1)(x)$\n…

factor $x^{3}+x^{2}+x + 1$ by grouping. what is the resulting expression?\n$(x^{2})(x + 1)$\n$(x^{2}+1)(x)$\n$(x^{2}+1)(x + 1)$\n$(x^{3}+1)(x + 1)$

factor $x^{3}+x^{2}+x + 1$ by grouping. what is the resulting expression?\n$(x^{2})(x + 1)$\n$(x^{2}+1)(x)$\n$(x^{2}+1)(x + 1)$\n$(x^{3}+1)(x + 1)$

Answer

Explanation:

Step1: Group the terms

$(x^{3}+x^{2})+(x + 1)$

Step2: Factor out the greatest - common factor from each group

$x^{2}(x + 1)+1(x + 1)$

Step3: Factor out the common binomial factor

$(x^{2}+1)(x + 1)$

Answer:

C. $(x^{2}+1)(x + 1)$