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x^{3}+x^{2}+4
Multiply and combine like terms.
\left(x+2\right)\left(x^{2}-x+2\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 4 and q divides the leading coefficient 1. One such root is -2. Factor the polynomial by dividing it by x+2. Polynomial x^{2}-x+2 is not factored since it does not have any rational roots.
x^{3}+x^{2}+4
Calculate 2 to the power of 2 and get 4.