math 3 polynomial roots

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. It can be odd or even.

Front

How many zeros does a polynomial function of degree n have?

Back

A polynomial function of degree n has at most n zeros.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its linear factors.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear divisor.

Front

List the zeros of the function f(x)=(x + 4)(x - 3)(x - 2).

Back

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

Front

What is a root of a polynomial?

Back

A root of a polynomial is a value of x that makes the polynomial equal to zero.

Front

How do you determine the number of real roots of a polynomial?

Back

You can determine the number of real roots using the Fundamental Theorem of Algebra and Descartes' Rule of Signs.

Front

What is the relationship between the degree of a polynomial and its number of roots?

Back

The degree of a polynomial indicates the maximum number of roots it can have.

Front

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

Back

The leading coefficient affects the end behavior of the polynomial graph.

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials.