Concept explainers
a.
To find: name and degree of the given polynomial
a.
Answer to Problem 3P
Degree is
Name of the polynomial based on degree is quadratic polynomial.
Name of the polynomial based on number of terms is trinomial
Explanation of Solution
Given information: Polynomial is
A polynomial is said to be in standard form if the terms of the polynomial are arranged from term of highest degree to the terms of lowest degree.
Exponent refers to the power of the variable.
Given polynomial is
Standard form is
Degree refers to the highest power of the variable
So, degree of the polynomial
A polynomial of degree
Also,
Number of terms in the polynomial
A polynomial with
b.
To explain: how writing a polynomial in standard form helps to name the polynomial
b.
Explanation of Solution
As a polynomial is written in standard form, it helps to know quickly the highest power of the variable that is the degree of the polynomial.
As we write the polynomial in standard form as
We can very easily find the degree of the polynomial.
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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