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Chapter 5: Problem 99

Explain how to find the degree of a polynomial in two variables.

Short Answer

Expert verified
To find the degree of a polynomial in two variables, identify all of the terms, compute the degree of each term by summing the exponents of the variables in the term, and then, the degree of the polynomial is the highest degree among all of its terms.

Step by step solution

01

Identify Terms

Begin by identifying all of the terms in the polynomial. This means breaking the polynomial equation into parts that are summed together, being attentive to the signs (-ve or +ve) connected with each term.
02

Find the Degree of Each Term

To calculate the degree of a single term, sum the exponents on the variables. If it's a simple term with no exponent, its degree will be 1. If there is no variable associated, it's degree will be 0.
03

Compare Degrees

Compare the degrees of all identified terms. The highest sum among them is the degree of the polynomial.

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Most popular questions from this chapter

Use a vertical format to find each product. $$\begin{aligned}&3 y^{3}+2 y^{2}+y+4\\\&y+3\end{aligned}$$

Find the missing factor. $$(\quad ) \left(-\frac{1}{4} x y^{3}\right)=2 x^{5} y^{3}$$

Perform the indicated computations. Express answers in scientific notation. $$\frac{\left(1.6 \times 10^{4}\right)\left(7.2 \times 10^{-3}\right)}{\left(3.6 \times 10^{8}\right)\left(4 \times 10^{-3}\right)}$$

Explain the difference between performing these two operations: $$2 x^{2}+3 x^{2} \text { and }\left(2 x^{2}\right)\left(3 x^{2}\right)$$

Perform the indicated operations. $$(x+5)(x-6)-(x+2)(x-9)$$
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