Exam 6: Factoring

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

Solve the equation.

One number is 4 times another. Their product is 4 times their sum. Find the numbers.

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. If the polynomial is prime , so indicate.

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

Factor.

Factor the expression by taking out the greatest common factor.

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

Factor completely.

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

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

Solve the equation.

Factor the trinomial.

The length of a rectangle is 1 more than the width. The area is 42 square inches. Find the dimensions. width: __________ inches length: __________ inches

Factor.

If one of the factors of is what is the other factor?

The shorter leg of a right triangle is 15 yards. If the hypotenuse is 25 yards, how long is the other leg? __________ yards

Factor by grouping.

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