Math Problem Statement
What is the sum of the given polynomials in standard form?
(x2 – 3x) + (–2x2 + 5x – 3)
–3x2 + 8x – 3
–x2 – 2x – 3
3x2 – 8x + 3
–x2 + 2x – 3
Solution
To find the sum of the given polynomials, let's first rewrite each polynomial clearly and then add them together term by term.
Given polynomials:
We will now add the corresponding coefficients of each term together.
Combining Like Terms
terms:
terms:
Constant terms:
Summing Up
The sum of the given polynomials in standard form is:
Would you like any more details or have any questions about this solution?
Here are 5 numbered questions you can ask:
- How do you simplify the sum of polynomials step-by-step?
- Can you explain the process of combining like terms in polynomials?
- What are the key differences between polynomials and other algebraic expressions?
- How do you factor the resulting polynomial from this sum?
- What are the applications of polynomial addition in real-life scenarios?
Tip: When adding or subtracting polynomials, always align like terms (terms with the same power of ) to simplify the process.
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Math Problem Analysis
Mathematical Concepts
Polynomials
Combining Like Terms
Standard Form
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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