Unit 4 - Polynomial Functions Test Review

Front

What is the behavior of a polynomial function on the interval (0, 2)?

Back

The graph is increasing.

Front

What is the degree and leading coefficient of a polynomial if it is even and positive?

Back

Degree: Even, Leading Coefficient: Positive.

Front

Find all zeros for the polynomial f(x) = x^4 + 8x^2 - 9.

Back

1, -1, ±3i.

Front

What are the remaining factors for (x^3 + x^2 - 17x + 15) if (x - 1) is a factor?

Back

(x-1)(x+5)(x-3).

Front

How many relative minima are there in the pictured polynomial?

Back

2.

Front

What is a polynomial function?

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What does it mean for a polynomial to have a degree of 4?

Back

It means the highest exponent of the variable in the polynomial is 4.

Front

How do you determine the zeros of a polynomial?

Back

By setting the polynomial equal to zero and solving for the variable.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial determines the maximum number of zeros and the end behavior of the graph.