Add and Subtract Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed in descending order of the degree of its terms, typically written as a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of three terms.

Front

How do you add two polynomials?

Back

To add two polynomials, combine like terms from both polynomials.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of one or more monomials, while a monomial is a single term consisting of a coefficient and a variable raised to a non-negative integer exponent.

Front

What is the result of subtracting a polynomial?

Back

To subtract a polynomial, distribute the negative sign across the polynomial being subtracted and then combine like terms.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of two terms.

Front

How do you classify a polynomial by its degree?

Back

Polynomials can be classified as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.