4.2 Polynomial Operations

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 are like terms?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

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 and exponent.

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 leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

How do you simplify the expression 5a + 2b - 3a + 4?

Back

The simplified expression is 2a + 2b + 4.

Front

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

Back

The result is 12x^3 - 26x^2 + x + 15.

Front

What is the sum of d + d + d + 3 + 2?

Back

The sum is 3d + 5.

Front

How do you combine the terms in (5x + 2) + (4x + 5)?

Back

The combined expression is 9x + 7.