Simplifying Polynomials Part 1

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x + 1 is a polynomial.

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial involves combining like terms and reducing the expression to its simplest form.

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^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.

Front

What is the result of (-3p^2 - 8p^4) - (-3p^2 - 6p^4)?

Back

The result is -2p^4.

Front

How do you find the difference of two polynomials?

Back

To find the difference, subtract the coefficients of like terms from each polynomial.

Front

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

Back

The difference is -x^2 - 6x + 8.

Front

What is the process for adding polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What is the sum of (2x + 5y) + (3x - 2y)?

Back

The sum is 5x + 3y.

Front

What is the result of (5x + x^2 - 4) - (4x - x^2 + 6)?

Back

The result is 2x^2 + x - 10.