Solve -1m-m^4

$$- 1 m - m ^ { 4 }$$

Factor

$$m\left(m+1\right)\left(-m^{2}+m-1\right)$$

Solution Steps

Factor out m.

$$m\left(-1-m^{3}\right)$$

Consider -1-m^{3}. By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -1 and q divides the leading coefficient -1. One such root is -1. Factor the polynomial by dividing it by m+1.

$$\left(m+1\right)\left(-m^{2}+m-1\right)$$

Rewrite the complete factored expression. Polynomial -m^{2}+m-1 is not factored since it does not have any rational roots.

$$m\left(m+1\right)\left(-m^{2}+m-1\right)$$

Evaluate

$$m\left(-m^{3}-1\right)$$