Classify the following expression by degree and term: (2 points) x2y − 7xy + xyz + x

1 answer:

4 0

The degree of the expression is based on the term with the highest exponent. First we can simplify the expression because x2y and 7xy are like terms. You can rearrange x2y into 2xy (the arrangement will not change the product). So if you combine the like terms, you will have a new equation with only three terms, so it will be considered as a trinomial.

xyz - 5xy + x

Remember to always arrange terms in your polynomial in descending order according to the degree.

Now for degree, just get the sum of the exponents to determine the highest degree. The first term in the new equation has 3 variables, x,y, and z. Each of them, even when the power is not expressed are each raised to the power of 1. There are three variables so it will be:
1+1+1 = 3

The first term is classified as 3rd degree, which is the highest. So now you can conclude that this expression is a 3rd degree trinomial.

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<h3>What is Triangle?</h3>

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
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All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

given that

let the height of the triangle be x

then the width is x-3

Area = $\frac{height \times length}{2}$