Practice Problems

Front

What is the Fundamental Theorem of Algebra?

Back

The Fundamental Theorem of Algebra states that every non-constant polynomial equation of degree n has exactly n complex roots, counting multiplicities.

Tags

CCSS.HSN.CN.C.9

Front

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

How do you find the zeros of a polynomial?

Back

To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.

Front

What is a polynomial function?

Back

Front

What does it mean for a polynomial to have a double root?

Back

Tags

CCSS.HSF-IF.C.7C

Front

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

Back

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It determines the end behavior of the polynomial function.

Front

How do you graph a polynomial function?

Back

To graph a polynomial function, identify the zeros, determine the end behavior, and plot points between the zeros to understand the shape of the graph.

Front

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

Back

The degree of a polynomial indicates the maximum number of zeros (real or complex) it can have.

Front

What is a rational root?

Back

Tags

CCSS.HSA.APR.B.2