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 does GCF stand for in the context of polynomials?

Back

GCF stands for Greatest Common Factor, which is the largest polynomial that divides each term of a polynomial without leaving a remainder.

Front

How do you find the GCF of the polynomial 4x^3 - 8x^2 + 12x?

Back

To find the GCF, factor out the common term from each part of the polynomial. The GCF is 4x.

Front

What is the process for adding polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable parts the same.

Front

What is the sum of (3 - 2x + 2x^2) and (4x - 5 + 3x^2)?

Back

The sum is 5x^2 + 2x - 2.

Front

What does it mean to simplify a polynomial?

Back

Simplifying a polynomial means to combine like terms and reduce the expression to its simplest form.

Front

What is a like term in polynomials?

Back

Like terms are terms that have the same variable raised to the same power, allowing their coefficients to be combined.

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 determine the area of a shape represented by a polynomial?

Back

The area can be found by evaluating the polynomial expression that represents the area, often involving factoring or simplifying.

Front

What is the area represented by the polynomial 2x^2 - 9x - 18?

Back

The area is represented by the polynomial 2x^2 - 9x - 18 square inches.