We appreciate your visit to What is the difference of the polynomials tex left 5x 3 4x 2 right left 6x 2 2x 9 right tex A tex x 3. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We want to find the difference between the two polynomials:
[tex]$$ (5x^3 + 4x^2) - (6x^2 - 2x - 9). $$[/tex]
Step 1. Distribute the Negative Sign
Distribute the minus sign through the second polynomial:
[tex]\[
(5x^3 + 4x^2) - (6x^2 - 2x - 9) = 5x^3 + 4x^2 - 6x^2 + 2x + 9.
\][/tex]
Step 2. Combine Like Terms
Now, group and combine the like terms:
- The cubic term: [tex]\(\;5x^3\)[/tex].
- The quadratic terms: [tex]\(\;4x^2 - 6x^2 = -2x^2\)[/tex].
- The linear term: [tex]\(\;2x\)[/tex].
- The constant term: [tex]\(\;9\)[/tex].
Thus, the expression simplifies to:
[tex]\[
5x^3 - 2x^2 + 2x + 9.
\][/tex]
Final Answer
The difference of the polynomials is:
[tex]$$ \boxed{5x^3 - 2x^2 + 2x + 9}. $$[/tex]
[tex]$$ (5x^3 + 4x^2) - (6x^2 - 2x - 9). $$[/tex]
Step 1. Distribute the Negative Sign
Distribute the minus sign through the second polynomial:
[tex]\[
(5x^3 + 4x^2) - (6x^2 - 2x - 9) = 5x^3 + 4x^2 - 6x^2 + 2x + 9.
\][/tex]
Step 2. Combine Like Terms
Now, group and combine the like terms:
- The cubic term: [tex]\(\;5x^3\)[/tex].
- The quadratic terms: [tex]\(\;4x^2 - 6x^2 = -2x^2\)[/tex].
- The linear term: [tex]\(\;2x\)[/tex].
- The constant term: [tex]\(\;9\)[/tex].
Thus, the expression simplifies to:
[tex]\[
5x^3 - 2x^2 + 2x + 9.
\][/tex]
Final Answer
The difference of the polynomials is:
[tex]$$ \boxed{5x^3 - 2x^2 + 2x + 9}. $$[/tex]
Thanks for taking the time to read What is the difference of the polynomials tex left 5x 3 4x 2 right left 6x 2 2x 9 right tex A tex x 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada