Exam 6: Factoring and Quadratic Equations

The loudness of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 4 ft from a hair dryer experiences a sound level of 60 dB. How loud is the hair dryer for a person 7 ft away? Round to the nearest tenth.

A polynomial that is completely factored is expressed as a product instead of a sum or difference.

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

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

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

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

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

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

The revenue from selling your cupcakes at the bake sale can be estimated by the equation where R is the revenue in dollars when p is the price in dollars. Find the vertex of this equation and interpret it in terms of the price and the revenue for that price.

You threw a ball from the ground at 48 feet per second. The height h of a ball in feet t seconds after it was thrown can be estimated by the equation . Find when the ball will be at a height of 32 feet.

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

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

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

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

Determine the behavior of the function as .

Factor so that the leading coefficient is positive.

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

Use the table below to find

To solve a quadratic equation by factoring one side of the equation must be equal to 0 before you factor the quadratic expression.

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