Exam 6: Factoring and Quadratic Equations

Factor the polynomial. If the polynomial cannot be factored over the integers then write that it is prime.

Factor the polynomial expression completely. If the polynomial cannot be factored write the answer as prime.

Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime.

The mouse population in a small desert area is modeled by the function where is measured in days. When is the maximum population attained and what is the maximum population?

Factor the polynomial expression. If the polynomial cannot be factored write the answer as prime.

Suppose a rocket is fired upward from the surface of the earth with an initial velocity (measured in m/s). Then the maximum height (in meters) reached by the rocket is given by the function where the radius of the earth is meters and the acceleration due to gravity is 9.8 . If the initial velocity of the rocket is 9100 m/s what is the maximum height reached by the rocket?

Factor the trinomial. If the trinomial cannot be factored over the integers then write that it is prime.

Graph the quadratic equation using symmetry. Label the vertex and clearly label and scale the axes.

Solve the equation by factoring.

If and find the domain of .

Suppose that is inversely proportional to the square of . Which one of the following is an equation that expresses this statement?

Determine the end behavior of the function .

Estimate the x- and y-intercepts from the graph.

Find the vertex of the given equation and determine whether it is a maximum or minimum point.

Graph the equation using symmetry. Label the vertex and the x- and y-intercepts.

Solve the equation.

Solve the equation.

Factor the trinomial. If the trinomial cannot be factored over the integers then write that it is prime.

When factoring a polynomial the first step is to look for the Greatest Common Factor (GCF) of each term.

A perfect square trinomial is factored as a binomial squared.