Operations with Polynomials & 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

How do you write a polynomial in standard form?

Back

A polynomial is written in standard form when its terms are arranged in descending order of their degrees.

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states that a^2 - b^2 can be factored as (a - b)(a + b).

Front

How do you factor the expression 4x^2 - 16?

Back

4x^2 - 16 can be factored as 4(x - 2)(x + 2) using the difference of squares.

Front

What is the factored form of x^2 - 225?

Back

x^2 - 225 can be factored as (x - 15)(x + 15) using the difference of squares.

Front

What is the factored form of x^2 - 25?

Back

x^2 - 25 can be factored as (x - 5)(x + 5) using the difference of squares.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor that multiplies a variable in a polynomial.

Front

What is a term in a polynomial?

Back

A term in a polynomial is a single mathematical expression that can be a constant, a variable, or a product of constants and variables.