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 are the zeros of a polynomial?

Back

The zeros of a polynomial are the values of the variable that make the polynomial equal to zero.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

Front

How do you determine the number of zeros a polynomial has?

Back

A polynomial of degree n has at most n zeros, which can be real or complex.

Front

What is multiplicity in relation to polynomial zeros?

Back

Multiplicity refers to the number of times a particular zero is repeated in a polynomial.

Front

If (x + 3) is a factor of a polynomial, what is the corresponding zero?

Back

The corresponding zero is x = -3.

Front

What is the relationship between factors and zeros of a polynomial?

Back

If (x - a) is a factor of a polynomial, then a is a zero of that polynomial.

Front

How can you find the roots of the polynomial x^3 - 4x^2 - 45x?

Back

Factor the polynomial to find the roots: x(x^2 - 4x - 45) = 0, which gives roots 0, 9, and -5.

Front

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

Back

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

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.