Suma y resta de polinomios

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. It can be expressed in the form: a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. Like terms are terms that have the same variable raised to the same power.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the terms of the polynomial being subtracted, and then combine like terms.

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms, while 3x^2 and 4x are not.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x + 7, the degree is 3.

Front

What is the coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in the term 5x^2, 5 is the coefficient.

Front

What is the result of (3a + 4b) - (5a - 2b)?

Back

The result is -2a + 6b.

Front

What is the result of (-x^2 + y^2 + z^2) + (2x^2 - y^2 + z^2)?

Back

The result is x^2 + 2z^2.

Front

What is the result of (5a^2 - 9a + 7) + (5a - 15a^2 + 11) + (-13 - 17a^2 + 4a)?

Back

The result is -27a^2 + 5.

Front

What is the result of 2x^2 + 3x^2 - x^2?

Back

The result is 4x^2.