[Math] the name of a polynomial with 1 as the leading coefficient

Question

Looking for roots of a polynomial, it is often the case to see all polynomials reduced / transfromed (?) from the general form

$$a_nx^n+\cdots+a_2x^2+a_1x+a_0$$

to

$$x^n +\cdots+a'_2x^2+a'_1x+a'_0$$

because it doesn't affect the result.

The factor theorem, likewise, makes reference to linear forms as $(x-r_i)$ irreducible binomials, in which the coefficient for $x$ is $1.$

Answer 1

A polynomial whose leading coefficient is 1 is called monic.