Math Problem Statement
a) Tính A(x) + B(x) b) Tính A(x) – B(x)
Solution
Let's analyze the image to extract the mathematical expressions for and .
From the image, we can see the following functions:
a) Tính
Let's combine like terms:
Simplifying:
So:
b) Tính
Now distribute the negative sign:
Combine like terms:
Simplifying:
So:
Final Answers:
Would you like further details or explanations?
Here are 5 related questions for practice:
- What is ?
- How would you calculate ?
- Can you find the roots of ?
- What is the degree of the polynomial ?
- How would the solution change if or included a term with ?
Tip: When simplifying polynomials, always group like terms first to avoid mistakes with signs or coefficients.
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Math Problem Analysis
Mathematical Concepts
Polynomial Addition
Polynomial Subtraction
Algebra
Formulas
A(x) + B(x) = (5x^4 + x^3 + 1/2x^2 + 2x + 2) + (5x^4 - x^3 + 1/2x^2 - 10x - 3)
A(x) - B(x) = (5x^4 + x^3 + 1/2x^2 + 2x + 2) - (5x^4 - x^3 + 1/2x^2 - 10x - 3)
Theorems
Polynomial Addition Theorem
Polynomial Subtraction Theorem
Suitable Grade Level
Grades 9-11
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