Polynomials Review

Front

Define a constant polynomial.

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term. It can be represented as f(x) = c, where c is a constant.

Front

What is a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, which can be expressed in the form f(x) = ax + b, where a and b are constants and a ≠ 0.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

How do you find the y-intercept of a polynomial function?

Back

To find the y-intercept of a polynomial function, substitute x = 0 into the function and solve for f(0).

Front

Simplify the expression: (3 - 2x + 2x^2) - (3x^2 + 4x - 5).

Back

The simplified expression is -x^2 - 6x + 8.

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 the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does it mean to combine like terms in a polynomial?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Simplify the expression: (5x^2 - 3x + 4) + (-3x^2 + 6x - 3).

Back

The simplified expression is 2x^2 + 3x + 1.

Front

What is the result of multiplying a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial.