2. (x-11)(5x-4)(x-3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Perform the indicated operation
![The expression provided is a polynomial represented as the product of three binomials:
\[ (x - 11)(5x - 4)(x - 3) \]
- **(x - 11):** This binomial represents a linear expression with a single variable, \(x\), decreased by 11.
- **(5x - 4):** This binomial is another linear expression, where the variable \(x\) is multiplied by 5 and then reduced by 4.
- **(x - 3):** This third binomial is a linear expression where the variable \(x\) is decreased by 3.
This expression can be expanded using algebraic methods such as the distributive property (also known as the FOIL method for pairs of binomials initially), to form a polynomial equation.
In an educational context, students might be asked to expand this expression to practice their understanding of polynomial multiplication, or to use this expression to find its roots, which are solutions to when the expression equals zero.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe67f5cb0-daee-4ea8-9bfc-4a00f267029a%2F4387c84c-dd1b-4e80-bfb2-4b8248fa71d1%2Fqvydyx9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expression provided is a polynomial represented as the product of three binomials:
\[ (x - 11)(5x - 4)(x - 3) \]
- **(x - 11):** This binomial represents a linear expression with a single variable, \(x\), decreased by 11.
- **(5x - 4):** This binomial is another linear expression, where the variable \(x\) is multiplied by 5 and then reduced by 4.
- **(x - 3):** This third binomial is a linear expression where the variable \(x\) is decreased by 3.
This expression can be expanded using algebraic methods such as the distributive property (also known as the FOIL method for pairs of binomials initially), to form a polynomial equation.
In an educational context, students might be asked to expand this expression to practice their understanding of polynomial multiplication, or to use this expression to find its roots, which are solutions to when the expression equals zero.
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