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Add the polynomials g(x)=x3-2x2+3x-1+4x2-x+2

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Answer to a math question Add the polynomials g(x)=x3-2x2+3x-1+4x2-x+2

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Rasheed
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110 Answers
Solution:
1. Write down the given polynomials:
- First polynomial: g(x) = x^3 - 2x^2 + 3x - 1
- Second polynomial: 4x^2 - x + 2

2. Align and add the polynomials term by term:
- g(x) = x^3 - 2x^2 + 3x - 1
- 4x^2 - x + 2

3. Add the corresponding like terms:
- For x^3 terms: x^3
- For x^2 terms: -2x^2 + 4x^2 = 2x^2
- For x terms: 3x - x = 2x
- For constant terms: -1 + 2 = 1

4. The resulting polynomial after addition is:
x^3 + 2x^2 + 2x + 1

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