We appreciate your visit to Perform the operation tex left 3x 3 7x 2 5x 2 right left 2x 2 9x 8 right tex A tex 3x 3 9x 2. 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 :
Sure! Let's work through the addition of these two polynomials step-by-step:
We have two polynomials that we are adding together:
1. [tex]\(3x^3 - 7x^2 + 5x - 2\)[/tex]
2. [tex]\(2x^2 - 9x + 8\)[/tex]
Here's how we add them:
Step 1: Align the polynomials by their terms:
- [tex]\(3x^3 - 7x^2 + 5x - 2\)[/tex]
- [tex]\(0x^3 + 2x^2 - 9x + 8\)[/tex]
Step 2: Add the coefficients of the like terms:
- For [tex]\(x^3\)[/tex] terms: [tex]\(3 + 0 = 3\)[/tex]
- For [tex]\(x^2\)[/tex] terms: [tex]\(-7 + 2 = -5\)[/tex]
- For [tex]\(x\)[/tex] terms: [tex]\(5 - 9 = -4\)[/tex]
- For the constant terms: [tex]\(-2 + 8 = 6\)[/tex]
Step 3: Write down the resulting polynomial:
The result of adding these two polynomials is:
[tex]\[3x^3 - 5x^2 - 4x + 6\][/tex]
So, the answer is [tex]\[3x^3 - 5x^2 - 4x + 6\][/tex].
We have two polynomials that we are adding together:
1. [tex]\(3x^3 - 7x^2 + 5x - 2\)[/tex]
2. [tex]\(2x^2 - 9x + 8\)[/tex]
Here's how we add them:
Step 1: Align the polynomials by their terms:
- [tex]\(3x^3 - 7x^2 + 5x - 2\)[/tex]
- [tex]\(0x^3 + 2x^2 - 9x + 8\)[/tex]
Step 2: Add the coefficients of the like terms:
- For [tex]\(x^3\)[/tex] terms: [tex]\(3 + 0 = 3\)[/tex]
- For [tex]\(x^2\)[/tex] terms: [tex]\(-7 + 2 = -5\)[/tex]
- For [tex]\(x\)[/tex] terms: [tex]\(5 - 9 = -4\)[/tex]
- For the constant terms: [tex]\(-2 + 8 = 6\)[/tex]
Step 3: Write down the resulting polynomial:
The result of adding these two polynomials is:
[tex]\[3x^3 - 5x^2 - 4x + 6\][/tex]
So, the answer is [tex]\[3x^3 - 5x^2 - 4x + 6\][/tex].
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