Exam 6: Factoring

Solve the equation.

Factor the trinomial.

Factor the expression by taking out the greatest common factor.

A company manufactures diskettes for home computers. It knows from experience that the number of diskettes it can sell each day, x , is related to the price p per diskette by the equation . At what price should the company sell the diskettes if it wants the daily revenue to be $5,400? ( Hint : The equation for revenue is .)

Solve the equation.

I have a piece of cardboard that is twice as long as it is wide. If I cut a 1-inch by 1-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 40 cubic inches. What are the dimensions of the cardboard?

Factor the expression as the sum or difference of two cubes.

Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable.

Factor the problem completely. First, factor out the greatest common factor, and then factor the remaining trinomial.

The equation is already in factored form. Use the special zero factor property to set the factors to 0 and solve.

Factor the trinomial.

Factor the polynomial completely; that is, once you are finished factoring, none of the factors you obtain should be factorable.

The product of two consecutive even integers is 24. Find the two integers.

Factor by grouping the first three terms together.

Factor the expression by taking out the greatest common factor.