Quiz de Suma y Resta de Polinomios

¿Cuál es el resultado de (3x^2 + 2x - 5) + (5x^2 - 3x + 7)?

• 15x^2 - x + 2

• 10x^2 + 5x + 2

• 8x^2 - x + 2

• 2x^2 + 2x + 2

Answer explanation

The correct answer is 8x^2 - x + 2 because when we add the two polynomials, we combine like terms. The x^2 terms add up to 8x^2, the x terms cancel each other out, and the constant terms add up to 2.

¿Cuál es el resultado de (4y^3 - 2y^2 + 6y) - (2y^3 + 5y^2 - 3y)?

• 2y^3 - 7y^2 + 9y

• 3y^3 - 6y^2 + 5y

• 5y^3 - 4y^2 + 2y

• 6y^3 - 3y^2 + 3y

Answer explanation

The correct answer is 2y^3 - 7y^2 + 9y. To subtract the polynomials, we combine like terms. The result is obtained by subtracting the coefficients of each term. In this case, the coefficients of y^3, y^2, and y are 4-2=2, -2-5=-7, and 6-(-3)=9, respectively.

¿Cuál es el resultado de (2a^2 + 3a - 4) + (5b^2 - 2b + 1)?

• 7a^2 + 3a + 5b^2 - 2b - 3

• 3a^2 - 2a + 6b^2 + 1b - 4

• 4a^2 + 5a + 2b^2 - 1b + 5

• 9a^2 + 1a + 3b^2 - 6b - 2

Answer explanation

The correct answer is 7a^2 + 3a + 5b^2 - 2b - 3. This is obtained by adding the like terms in the given expression.

¿Cuál es el resultado de (6x^3 - 4x^2 + 2x) - (3x^3 + 5x^2 - x)?

• 2x^3 - 9x^2 + 3x

• 3x^3 - 5x^2 + 2x

• 9x^3 - 1x^2 + 3x

• 3x^3 - 9x^2 + 3x

Answer explanation

The correct answer is 3x^3 - 9x^2 + 3x. To subtract polynomials, we subtract the corresponding terms. In this case, we subtract the coefficients of x^3, x^2, and x. The result is 3x^3 - 9x^2 + 3x.

¿Cuál es el resultado de (7y^2 - 3y + 5) + (4y^3 + 2y^2 - 6y)?

• 3y^3 + 9y^2 - 9y + 5

• 11y^5 - 5y^3 + 11y^2 - y - 1

• 4y^3 + 9y^2 - 9y + 5

• 2y^3 + 5y^2 - 3y + 5

Answer explanation

The correct answer is 4y^3 + 9y^2 - 9y + 5. To add the two polynomials, we combine like terms. The resulting polynomial has a degree of 3 and includes terms with y raised to the power of 3, 2, and 1. The constant term is 5.

¿Cuál es el resultado de (2a^2 + 3a - 4) - (5b^2 - 2b + 1)?

• 2a^2 + 3a + 4 - 5b^2 - 2b + 1

• 2a^2 + 3a - 4 - 5b^2 + 2b - 1

• 2a^2 + 3a - 4 - 5b^2 - 2b - 1

• 2a^2 - 3a - 4 - 5b^2 + 2b - 1

Answer explanation

The correct choice is 2a^2 + 3a - 4 - 5b^2 + 2b - 1 because it represents the subtraction of the second expression from the first expression.

¿Cuál es el resultado de (6x^3 - 4x^2 + 2x) + (3x^3 + 5x^2 - x)?

• 9x^3 + x^2 + 2x

• 15x^3 + 9x^2 + x

• 4x^3 + x^2 - 3x

• 10x^3 - 3x^2 + 3x

Answer explanation

The correct answer is 9x^3 + x^2 + 2x. By combining like terms, we add the coefficients of the same degree. The result is obtained by adding the coefficients of x^3, x^2, and x separately.

¿Cuál es el resultado de (7y^2 - 3y + 5) - (4y^3 + 2y^2 - 6y)?

• 4y^3 - 2y^2 + 6y

• -4y^3 + 5y^2 + 3y + 5

• -7y^2 - 3y + 5

• -4y^3 + 5y^2 - 3y + 5

Answer explanation

To subtract polynomials, combine like terms. The correct choice is -4y^3 + 5y^2 + 3y + 5 because it has the same terms as the given expression, but with the opposite signs.

¿Cuál es el resultado de (2a^2 + 3a - 4) + (5b^2 - 2b + 1)?

• 3a^2 + 3a + 5b^2 - 2b - 4

• 7a^2 + 3a + 5b^2 - 2b - 3

• 4a^2 + 1a + 6b^2 - 2b - 3

• 9a^2 + 1a + 3b^2 - 6b - 2

Answer explanation

The given expression can be simplified by combining like terms. The correct choice, 7a^2 + 3a + 5b^2 - 2b - 3, is obtained by adding the coefficients of the same variables together. The resulting expression is the sum of the terms (2a^2 + 3a - 4) and (5b^2 - 2b + 1).

¿Cuál es el resultado de (6x^3 - 4x^2 + 2x) - (3x^3 + 5x^2 - x)?

• 3x^3 - 5x^2 + 2x

• 3x^3 - 9x^2 + 3x

• 2x^3 - 9x^2 + 3x

• 9x^3 - 1x^2 + 3x

Answer explanation

The correct answer is 3x^3 - 9x^2 + 3x. To subtract polynomials, we subtract the coefficients of like terms. In this case, we subtract 6x^3 from 3x^3 to get -3x^3, subtract -4x^2 from -5x^2 to get -9x^2, and subtract 2x from -x to get 3x. Therefore, the result is 3x^3 - 9x^2 + 3x.