Exam 6: Factoring and Quadratic Equations

Factor completely and make the leading coefficient positive.

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

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

Find the x- and y-intercepts of the equation.

Suppose that is inversely proportional to the cube root of . If when find the proportionality constant. Round to the nearest hundredth.

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

Find the x- and y-intercepts of the equation.

Use the graph to estimate the vertex and determine whether it is a maximum or minimum point.

Solve the equation using the zero-product property.

Use the graph to estimate the vertex and determine whether it is a maximum or minimum point.

Find the x- and y-intercepts of the equation.

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

The function exhibits the following end behavior: and .

Use the equation to determine whether the parabola opens upward or downward.

Determine the behavior of as .

You dropped a ball from a roof of a building that is 64 feet high. The height h of a ball in feet t seconds after dropped from the roof can be estimated by the equation . Find when the ball will hit the ground (height equal to zero).

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

Factor the polynomial expression by grouping.

For the polynomial expression factor out the GCF.

If and find the domain of .