Graphing Polynomial

Front

What are the zeros of the polynomial function f(x)=(x+4)(x-3)(x-2)?

Back

The zeros are x = -4, x = 3, x = 2.

Front

What is the factored form of a polynomial?

Back

A factored form of a polynomial is expressed as a product of its linear factors.

Front

How many solutions can the polynomial f(x) = 5x^4 + 2x^3 + 2x - 7 have at most?

Back

At most, it can have 4 solutions.

Front

What is the end behavior of the function y = -x^3 + 6x^2 + 7x?

Back

As x -> -∞, f(x) -> ∞; as x -> ∞, f(x) -> -∞.

Front

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

Back

To find the y-intercept, evaluate the function at x = 0.

Front

What is the y-intercept of the polynomial f(x) = x^3 - 5x^2 - 25x + 125?

Back

The y-intercept is (0, 125).

Front

What does it mean for a polynomial to be factored?

Back

Factoring a polynomial means expressing it as a product of simpler polynomials.

Front

What is the degree of the polynomial f(x) = 5x^4 + 2x^3 + 2x - 7?

Back

The degree is 4.

Front

What is 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 ≠ 0.

Front

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

Back

The leading coefficient determines the end behavior of the polynomial function.