Exam 5: The Greatest Common Factor and Factoring by Grouping

Solve the equation.

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.

Find the value for a so that the polynomial factors to . __________

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

Factor by grouping.

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

Factor.

Factor by grouping.

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

Factor the trinomial.

Factor the trinomial.

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.

The hypotenuse of a right triangle is 58 inches. The lengths of the two legs are given by two consecutive even integers. Find the lengths of the two legs.

Factor the trinomial.

Solve the equation.

Factor the trinomial.

Factor.

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