Avaliação de Rec Polinômios - valor 30 pontos

Answer explanation

To add the polynomials, combine like terms: (3x^2 + 2x + 1) + (4x^2 - x + 5) = 7x^2 + x + 6. Therefore, the correct answer is 7x^2 + x + 6.

Answer explanation

To subtract the polynomials, combine like terms: (5x^3 - 3x^2 + 2x - 1) - (2x^3 + x^2 - x + 4) = 3x^3 - 4x^2 + 3x - 5

Answer explanation

To reduce the expression, combine like terms: 2x^2 + x^2 = 3x^2, 3x - 2x = x, -4 + 5 = 1. Therefore, the simplified expression is 3x^2 + x + 1.

Answer explanation

To identify the coefficient of the term x, look at the term itself. In this case, the coefficient of x is 5, so the correct choice is 5.

Answer explanation

To add the polynomials, combine like terms: (6x^2 - 3x + 2) + (-2x^2 + 4x - 5) = 4x^2 + x - 3. Therefore, the correct choice is 4x^2 + x - 3.

Answer explanation

To subtract the polynomials, combine like terms. Subtract the coefficients of each term with the same degree. The result is 4x^2 + 7x - 7.

Answer explanation

To reduce like terms, combine the coefficients of the same degree of x. In this case, 5x^3 + 4x^3 = 9x^3, -2x^2 + x^2 = -x^2, and 3x - x = 2x. Therefore, the simplified expression is 9x^3 - x^2 + 2x.

Answer explanation

O coeficiente do termo x^2 é -5, pois o polinômio é -3x^4 + 2x^3 - 5x^2 + 6x - 1.

Answer explanation

To add the polynomials, combine like terms: x^3 + (-x^3) = 0, 2x^2 + x^2 = 3x^2, -x + 3x = 2x, 1 + (-2) = -1. Therefore, the sum is 3x^2 + 2x - 1.

Answer explanation

To subtract the polynomials, combine like terms: 4x^4 - 3x^3 + 2x^2 - x + 5 - (2x^4 + x^3 - x^2 + 3x - 2) = 2x^4 - 4x^3 + 3x^2 - 4x + 7