Fundamental Theorem of Algebra

Front

What does the largest exponent in a polynomial determine?

Back

The degree of the polynomial.

Front

What is the result of (8p^3 - 38p^2 - 17p + 43) ÷ (p - 5)?

Back

8p^2 + 2p - 7, R 8

Front

How do you find the zeros of a polynomial given one factor?

Back

Use synthetic division.

Front

How many zeros does the function f(x) = x^5 - 3x^3 + x have?

Back

5

Front

Is (x - 3) a factor of (x^3 - 3x^2 + 2x + 2)?

Back

No

Front

What is the Fundamental Theorem of Algebra?

Back

Every non-constant polynomial equation has at least one complex root.

Front

What is synthetic division used for?

Back

To divide a polynomial by a linear factor.

Front

If a polynomial has a degree of 5, what is the maximum number of zeros it can have?

Back

5 zeros.

Front

What is a zero of a polynomial?

Back

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

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 it can have.