Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**Writing Trinomials in Standard Form**
This exercise requires you to rewrite trinomials in standard form. The standard form of a polynomial arranges the terms in descending order of their exponents.
**Problem Set:**
(a) \(1 - x + x^2\)
(b) \(11n + n^2 + 3\)
**Instructions:**
1. **Trinomial (a):**
- Original Form: \(1 - x + x^2\)
- To write in standard form, rearrange terms by descending power of \(x\):
\[
x^2 - x + 1
\]
2. **Trinomial (b):**
- Original Form: \(11n + n^2 + 3\)
- Rearrange terms by descending power of \(n\):
\[
n^2 + 11n + 3
\]
Each trinomial is presented with a box where students are expected to fill in the rearranged expression in standard form. Remember that the exponents decrease from left to right, starting with the highest.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef7b10d1-c17d-464d-97b9-72bcefd215a7%2F09f6da53-669f-4acc-afd4-3f9526e4ae60%2Fht0qky_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Writing Trinomials in Standard Form**
This exercise requires you to rewrite trinomials in standard form. The standard form of a polynomial arranges the terms in descending order of their exponents.
**Problem Set:**
(a) \(1 - x + x^2\)
(b) \(11n + n^2 + 3\)
**Instructions:**
1. **Trinomial (a):**
- Original Form: \(1 - x + x^2\)
- To write in standard form, rearrange terms by descending power of \(x\):
\[
x^2 - x + 1
\]
2. **Trinomial (b):**
- Original Form: \(11n + n^2 + 3\)
- Rearrange terms by descending power of \(n\):
\[
n^2 + 11n + 3
\]
Each trinomial is presented with a box where students are expected to fill in the rearranged expression in standard form. Remember that the exponents decrease from left to right, starting with the highest.
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