Concept explainers
(a)
To fill the blank space:
The polynomial that represent the length of Kelly’s plot is _______
(a)
Answer to Problem 1MP
Explanation of Solution
Given Information:
Calculation:
The length of planning area of Kelly’s plot =xft
The length of surrounding border =
∴The polynomial that represent total length of Kelly’s plot =
(b)
To fill the blank space:
The polynomial that represent the width of Kelly’s plot is _______
(b)
Answer to Problem 1MP
Explanation of Solution
Given Information:
Calculation:
The width of planning area of Kelly’s plot =xft
The width of surrounding border =
∴The polynomial that represent total width of Kelly’s plot =
(c)
To fill the blank space:
Each of the polynomial in part (b) and (c) is an example of _______
(c)
Answer to Problem 1MP
binomial |
Explanation of Solution
Given Information:
Length of Kelly’s plot is
Width of Kelly’s plot is
Formula Used:
A binomial is an expression with two terms.
Length and width of Kelly’s plot contains two terms. Therefore each expression is an example of binomial.
(d)
To fill the blank space:
The polynomial that represents the area of Roberto’s flower bed is______
(d)
Answer to Problem 1MP
Explanation of Solution
Given Information:
Formula Used:
Area of a rectangle of length l and width b is lb
Calculation:
Length of Roberto’s flower bed, l
Width of Roberto's flower bed, b
Area of Roberto's flower bed, A
Area of Roberto's flower bed, A
(e)
To fill the blank space:
The polynomial that represents the area of Roberto’s flower bed is an example of a______
(e)
Answer to Problem 1MP
monomial |
Explanation of Solution
Given Information:
The polynomial that represents the area of Roberto’s flower bed is
The area of Roberto’s flower bed is
Therefore it is an example of a monomial.
(f)
To fill the blank space:
The degree of the polynomial that represents the area of Roberto’s flower bed is______
(f)
Answer to Problem 1MP
2 |
Explanation of Solution
Given Information:
The polynomial that represents the area of Roberto’s flower bed is
The degree of the monomial is the sum of the exponents of all included variables.
The area of Roberto’s flower bed has only one variable x and has exponent 2.
∴The degree of the polynomial that represents the area of Roberto’s flower bed is 2
Chapter 8 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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