Classifying & Operations Polynomials and Graphing Cubics

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term. Example: 12.

Front

What is a linear polynomial?

Back

A linear polynomial is a polynomial of degree 1, which has the form ax + b. Example: 2x + 3.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which has the form ax^2 + bx + c. Example: -2x^2 - x.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which has the form ax^3 + bx^2 + cx + d. Example: 3x^3 - 2x^2 + x - 5.

Front

How do you classify a polynomial by its degree?

Back

You classify a polynomial by identifying the highest power of the variable in the polynomial.

Front

What is the product of (4x - 1) and (3x^2 - 2x + 5)?

Back

The product is 12x^3 - 11x^2 + 22x - 5.

Front

How do you find the area of a rectangle with length (x-5) and width (3x+1)?

Back

The area is found by multiplying length and width: Area = (x-5)(3x+1) = 3x^2 - 14x - 5.

Front

What is the general form of a cubic function?

Back

The general form of a cubic function is y = ax^3 + bx^2 + cx + d.

Front

What does the graph of a cubic function typically look like?

Back

The graph of a cubic function can have one or two turning points and can extend to positive or negative infinity.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial's graph.