AA2 Polynomial Functions Review

Front

What is the degree of the polynomial function f(x) = 2x^3 - 3x^2 + 4x - 10?

Back

3

Front

Classify the polynomial 3x^2 - 8x + 1 by its degree.

Back

Quadratic

Front

What is the factored form of the function graphed as y = (x + 1)^2(2 - x)?

Back

y = (x + 1)^2(2 - x)

Front

What could be the equation for the graph represented by y = (x + 2)(x - 1)(x - 3)?

Back

y = (x + 2)(x - 1)(x - 3)

Front

State the minimum degree of the function shown if it is 5.

Back

5

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term, e.g., f(x) = 5.

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 ≠ 0.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form f(x) = ax^3 + bx^2 + cx + d, where a ≠ 0.