Adding 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 are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What is the degree of a polynomial?

Back

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

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to combine like terms and reduce it to its simplest form.

Front

What is the result of (2x + 5y - z) + (-6x - 4y + 7z)?

Back

-4x + y + 6z.

Front

What is the result of (4a + 6ab - b) + (-2a - ab + 3b)?

Back

2a + 5ab + 2b.

Front

How do you distribute in polynomials?

Back

To distribute, multiply each term inside the parentheses by the term outside. For example, -3(x - 4) becomes -3x + 12.

Front

What is the result of combining like terms in (5x + 2) + (4x + 5)?

Back

9x + 7.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 3x^2, 3 is the coefficient.