Polynomial Flashcard (#2)

Front

What is the domain of the function f(x) = 1 / x?

Back

All real numbers except zero, or (-∞, 0) ∪ (0, ∞).

Front

Multiply the polynomials (x + 6)(x - 4).

Back

x^2 + 2x - 24.

Front

What is the DOMAIN of a function?

Back

The set of all possible input values (x-values) for the function.

Front

Given p(x) = 3x + 4 and q(x) = 2x^2, find p(q(x)).

Back

6x^2 + 4.

Front

What is f(f(x)) if f(x) = x^2?

Back

x^4.

Front

Define a polynomial.

Back

A mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

Back

3.

Front

What is the leading coefficient of the polynomial 5x^4 - 3x^2 + 2?

Back

5.

Front

What does it mean for a polynomial to be factored?

Back

Expressing the polynomial as a product of its factors.

Front

What is the result of (x + 2)(x - 3)?

Back

x^2 - x - 6.