For the graph below:
a. Describe the end behavior:
b. Determine whether the function is even or odd degree:
c. Determine the sign of the leading coefficient:
A is the sum or difference of many monomials.
The highest exponent of any polynomial is called the .
When writing a polynomial in standard form, always write with exponents in order.
Match each polynomial with the type based on it's degree:
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | constant | |
| arrow_right_alt | linear | |
| arrow_right_alt | quadratic | |
| arrow_right_alt | cubic | |
| arrow_right_alt | quartic | |
63 | arrow_right_alt | quintic |
Find the sum and write your answer in standard form:
Find the difference and write your answer in standard form:
The length and width of a rectangle are given by the expressions below, find the area of the rectangle:
Which expression simplifies to a quadratic binomial expression?
For the graph below:
a. Describe the end behavior:
b. Determine whether the function is even or odd degree:
c. Determine the sign of the leading coefficient:
Graph the function and give it’s key characteristics; use a graphing calculator for the turning points and round to the nearest hundredth:
Domain:
Range:
Relative Maximum:
Relative Minimum:
End behavior: As x→ -∞, f(x) →
As x → ∞; f(x) →
Increasing Intervals:
Decreasing Intervals:
Zeros:
During which interval(s) is the function below only increasing? Choose 2.
Identify the zeros and their multiplicities of the function graphed below.
Answer:
Match the polynomial expression with the appropriate method for factoring:
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
| arrow_right_alt | Difference of Squares | |
| arrow_right_alt | Sum of Cubes | |
| arrow_right_alt | Difference of Cubes | |
| arrow_right_alt | Grouping |
Solve the equation by factoring:
Solve the polynomial equation by factoring:
Identify the solutions to the polynomial equation, check all that apply:
The population of a species is modeled by the equation:
where x is the number of years. Find the approximate number of years until the species is extinct. Round your answer to the nearest 10th.
Factor the polynomial :