Midterm Review # 1 - Operations with 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 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 standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

How do you add polynomials?

Back

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

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a polynomial.

Front

Multiply: (4x + 1)(5x - 2)

Back

20x² - 3x - 2

Front

Simplify: (4x² + x) - (x² + 2x)

Back

3x² - x

Front

Which expression is equivalent to: (2x² + 5x - 7)(x - 2)?

Back

2x³ + x² - 17x + 14

Front

Multiply: (5x + 2)(x² - 3x + 6)

Back

5x³ - 13x² + 24x + 12