Exam 5: The Greatest Common Factor and Factoring by Grouping

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

Solve the equation.

Factor by grouping the first three terms together.

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

Factor the trinomial.

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

Factor completely.

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

Factor the trinomial.

Solve the equation.

Factor the expression by taking out the greatest common factor.

Solve the equation.

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

Factor the trinomial.

The shorter leg of a right triangle is 5 yards. If the hypotenuse is 13 yards, how long is the other leg?

Solve the equation.

Factor the trinomial.

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

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

Solve the equation.