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The following are the classification of expressions: Monomial algebraic expressions. Binomial algebraic expressions. Polynomial algebraic expressions.

Classifying Systems of Equations - YouTube YouTube Start of suggested clip End of suggested clip First of all we talk about consistent. And inconsistent consistent means there are solutions. If itMoreFirst of all we talk about consistent. And inconsistent consistent means there are solutions. If it is consistent then we talk about independent. And dependent independent.

There are three types of systems of linear equations in two variables, and three types of solutions. An independent system has exactly one solution pair (x,y). The point where the two lines intersect is the only solution. An inconsistent system has no solution.A dependent system has infinitely many solutions.

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.

The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient....Table 10.2 Classifying a Polynomial Based on Its Degree. DegreeClassificationExample4quartic2x4 - 3x2 + x - 85quintic3x5 - 7x3 - 24 more rows

To solve a system of equations by graphing, graph all the equations in the system. The point(s) at which all the lines intersect are the solutions to the system. Graph of System Since the two lines intersect at the point (1, 1), this point is a solution to the system.

There are two major classes of ODE's, linear and nonlinear.