Geometry Intro Polynomials Quick Check

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degree. For example, 2x^3 + 9x^2 + 5x + 27.

Front

How do you simplify the expression (6b^3 + 6 - b^4) - (8b^3 - 6b^4 + 2)?

Back

Combine like terms to simplify: 5b^4 - 2b^3 + 4.

Front

What is the formula for the perimeter of a shape?

Back

The perimeter is the total distance around a shape. For example, for a linear expression, it can be represented as 6x - 6 inches.

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, -3x and 3x are like terms.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms. For example, (3x^3 + 3x^2 - 4x + 5) + (x^3 - 2x^2 + x - 4) = 4x^3 + x^2 - 3x + 1.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 4x^2 + 3x + 2.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 5x^4 + 3x^2, the degree is 4.

Front

What are coefficients in a polynomial?

Back

Coefficients are the numerical factors in a polynomial. For example, in 3x^2, the coefficient is 3.

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. For example, 5x is a monomial, and 5x + 3 is a polynomial.

Front

How do you identify the leading term of a polynomial?

Back

The leading term is the term with the highest degree in a polynomial. For example, in 2x^3 + 4x^2 + 5, the leading term is 2x^3.