Exam 6: Factoring

The height of a triangle is twice the base. The area is 25 square inches. Find the base.

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 expression completely. Look first for the greatest common factor.

Factor.

Solve the equation.

Factor the trinomial.

Margaret shoots an arrow into the air. The equation for the height (in feet)of the tip of the arrow follows. Factor the right side of this equation. Then fill in the table for various heights of the arrow, using the factored form of the equation.

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

Factor the expression completely. Look first for the greatest common factor.

The hypotenuse of a right triangle is 10 inches. The lengths of the two legs are given by two consecutive even integers. Find the lengths of the two legs.

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

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

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

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

Factor.

One number is 5 more than 2 times another. Their product is 18. Find the numbers.

Factor the trinomial.

A 20-foot ladder is placed so that it reaches to a point on the wall that is 4 higher than the distance from the base of the wall to the base of the ladder. How high does the ladder reach?

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

Factor the expression completely. Look first for the greatest common factor.