Adding & Subtracting Polynomials Practice

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions. For example, (2x + 3) + (4x + 5) = 6x + 8.

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.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (3x + 4) - (2x + 1) = 3x + 4 - 2x - 1 = x + 3.

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 - x, the degree is 3.

Front

How do you simplify the expression (3x + 2) + (4x - 5)?

Back

Combine like terms: (3x + 4x) + (2 - 5) = 7x - 3.

Front

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

Back

Combine like terms: (2x^2 + 5x^2) + (3x - 2x) = 7x^2 + x.

Front

How many terms are in the polynomial 4x^2 + 3x - 7?

Back

There are 3 terms in the polynomial: 4x^2, 3x, and -7.

Front

What is the sum of (x^2 + 2x) + (3x^2 + 4)?

Back

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

Front

What is the result of (5x^2 - 3) - (2x^2 + 4)?

Back

Distribute the negative sign: 5x^2 - 3 - 2x^2 - 4 = (5x^2 - 2x^2) + (-3 - 4) = 3x^2 - 7.