Adding and Subtracting Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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. They can be combined by adding or subtracting their coefficients.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent.

Front

What is the degree of a polynomial?

Back

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

Front

What is the sum of two polynomials?

Back

The sum of two polynomials is obtained by combining like terms from both polynomials.

Front

How do you simplify the expression (9x + 11) + (x - 3)?

Back

Combine like terms: (9x + x) + (11 - 3) = 10x + 8.

Front

What is the result of adding (5x + 2) + (4x + 5)?

Back

Combine like terms: (5x + 4x) + (2 + 5) = 9x + 7.

Front

How do you find the sum of (3x^3 + 3x^2 – 4x + 5) and (x^3 – 2x^2 + x – 4)?

Back

Combine like terms: (3x^3 + x^3) + (3x^2 - 2x^2) + (-4x + x) + (5 - 4) = 4x^3 + 1x^2 – 3x + 1.

Front

What is the simplified form of (12x + 7) + (3x + 8)?

Back

Combine like terms: (12x + 3x) + (7 + 8) = 15x + 15.

Front

What is the result of (6x + 3) + (-2x + 5)?

Back

Combine like terms: (6x - 2x) + (3 + 5) = 4x + 8.