Addition and subtraction of polynomials.—Reduction of similar terms.
Multiplication of monomials.—Use of exponents.—Multiplication of polynomials. Rule of the signs.—To arrange a polynomial.—Homogeneous polynomials.
Division of monomials. Exponent zero.—Division of polynomials. How to know if the operation will not terminate.—Division of polynomials when the dividend contains a letter which is not found in the divisor.
Equations of the first degree.
Resolution of numerical equations of the first degree with one or several unknown quantities by the method of substitution.—Verification of the values of the unknown quantities and of the degree of their exactness.
Of cases of impossibility or of indetermination.
Interpretation of negative values.—Use and calculation of negative quantities.
Investigation of general formulas for obtaining the values of the unknown quantities in a system of equations of the first degree with two or three unknown quantities.—Method of Bezout.—Complete discussion of these formulas for the case of two unknown quantities.—Symbols m/o and o/o.
Discussion of three equations with three unknown quantities, in which the terms independent of the unknown quantities are null.
Equations of the second degree with one unknown quantity.