Math Problem Statement
Add (4x^2 - 7x + 5) and (5x^2 + 4x + 1).
Solution
The question is asking to add the polynomials:
Step-by-step solution:
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Group like terms:
- Combine the -terms: .
- Combine the -terms: .
- Combine the constants: .
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Add the terms:
- ,
- ,
- .
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Write the final polynomial:
The answer provided in the screenshot, , is correct.
Would you like further explanation or have any specific questions?
Related Questions:
- What is the difference between adding and subtracting polynomials?
- How do you verify your answer when adding polynomials?
- How are like terms identified in polynomial expressions?
- Can you explain how to multiply two polynomials instead of adding them?
- How would the result change if one polynomial were subtracted instead of added?
Tip:
Always align like terms vertically when adding or subtracting polynomials to reduce errors.
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Math Problem Analysis
Mathematical Concepts
Polynomials
Addition of Polynomials
Like Terms
Formulas
Combine like terms: ax^2 + bx + c
Theorems
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Suitable Grade Level
Grade 7-9