Simplifying 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 does it mean to simplify a polynomial?

Back

Simplifying a polynomial means to combine like terms and reduce 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, allowing them to be combined.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials: Multiply the First terms, the Outer terms, the Inner terms, and the Last terms, then combine like terms.

Front

What is the result of (4x + 1)(5x - 2)?

Back

20x² - 3x - 2.

Front

What is the result of (5x + 1)(x + 4)?

Back

5x² + 21x + 4.

Front

How do you add or subtract polynomials?

Back

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

Front

What is the result of (4x² + x) - (x² + 2x)?

Back

3x² - x.

Front

How do you combine like terms?

Back

Combine like terms by adding or subtracting their coefficients while keeping the variable part the same.