Final answer:
To sum the polynomials (3x²- 2x +1) and (4x² +3x + 2), we combine like terms to get the result which is 7x² + x + 3.
Step-by-step explanation:
To find the sum of the polynomials (3x²- 2x +1) and (4x² +3x + 2), we combine like terms. This involves adding the coefficients of the terms with the same degree. In descending order, we add the coefficients of the x² terms, the x terms, and then the constant terms separately.
The sum of the x² terms: 3x² + 4x² = 7x²
The sum of the x terms: (-2x) + 3x = 1x or simply x
The sum of the constant terms: 1 + 2 = 3
Therefore, the sum of the polynomials is 7x² + x + 3.