Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter7: Factoring
Section7.3: Factor Quadratic Trinomials With Leading Coefficient Other Than 1
Problem 213E: What are the questions, in order, that you ask yourself as you start to factor a polynomial? What do...
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![**Exercise: Factoring Quadratic Expressions**
**Problem:**
Factor \(10a^2 + 15a\).
**Solution:**
To factor this expression, look for the greatest common factor (GCF) of the terms:
1. The terms \(10a^2\) and \(15a\) both have a common factor of \(5a\).
2. Factor out \(5a\) from the expression:
\[
10a^2 + 15a = 5a(2a + 3)
\]
The factored expression is \(5a(2a + 3)\).
**Additional Tools:**
- There is an input box provided for entering your calculated factor.
- Next to the input box, there are three icons:
- **X**: Possibly used to clear the input.
- **Arrows forming a circle**: Likely a reset or refresh function.
- **Question mark**: Could provide hints or help related to the problem.
Use these tools to assist in entering and checking your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f85244a-db4f-4100-b4ef-bb93cf6fa539%2Fb240a8b0-03a5-466c-ac0b-f1bd25e1ce39%2Fmho0ke_processed.png&w=3840&q=75)
Transcribed Image Text:**Exercise: Factoring Quadratic Expressions**
**Problem:**
Factor \(10a^2 + 15a\).
**Solution:**
To factor this expression, look for the greatest common factor (GCF) of the terms:
1. The terms \(10a^2\) and \(15a\) both have a common factor of \(5a\).
2. Factor out \(5a\) from the expression:
\[
10a^2 + 15a = 5a(2a + 3)
\]
The factored expression is \(5a(2a + 3)\).
**Additional Tools:**
- There is an input box provided for entering your calculated factor.
- Next to the input box, there are three icons:
- **X**: Possibly used to clear the input.
- **Arrows forming a circle**: Likely a reset or refresh function.
- **Question mark**: Could provide hints or help related to the problem.
Use these tools to assist in entering and checking your answer.
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