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

How do you simplify the expression 9n^3 + 4n - 2n^3 + 6?

Back

The simplified expression is 7n^3 + 6.

Front

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

Back

The result is 8x^2 - 4x - 4.

Front

How do you find the sum of (2x^2 + 5x - 7) and (3 - 4x^2 + 6x)?

Back

The sum is -2x^2 + 11x - 4.

Front

What is the process of combining like terms in a polynomial?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the result of simplifying r^2 - 3r - 2 + 2r + 1?

Back

The simplified expression is r^2 - r - 1.

Front

What is the result of simplifying -3n^3 + 8n + 3n^3 - 6?

Back

The simplified expression is 8n - 6.

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

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.