Polynomial Operations and Factoring Review

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 polynomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial that has exactly three terms.

Front

How do you simplify the expression -3n^3 + 8n - 6n^3?

Back

The simplified expression is -6n^3.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means to express it as a product of its factors, which are polynomials of lower degrees.

Front

What is the factored form of x^2 + 2x - 3?

Back

The factored form is (x - 1)(x + 3).

Front

What is the result of multiplying (2x + 6)(2x - 6)?

Back

The result is 4x^2 - 36.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

If a rectangle has a length of 5x and a width of 2, what is its perimeter?

Back

The perimeter is P = 2(5x + 2) = 10x + 4.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.