ALG2 4.0 - Simplifying Polynomials

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power. For example, 3x and -9x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 3x - 9x = -6x.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their exponents. For example, 3x^2 + 2x + 1.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest exponent of the variable in the expression. For example, in 4x^3 + 2x^2 + 5, the degree is 3.

Front

How do you simplify the expression 5 + 3x + 2x?

Back

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

Front

What is the result of combining the like terms in 2x^2 + 3x - 4 + 5x - 2x^2?

Back

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

Front

What does it mean to simplify an expression?

Back

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

Front

What is the coefficient in the term 7x^2?

Back

The coefficient is the numerical factor in a term. In 7x^2, the coefficient is 7.

Front

How do you identify like terms in the expression 3x + 7 - 9x + 24y + 2x^2?

Back

Like terms are those with the same variable. In this expression, the like terms are 3x and -9x.