Exam 5: The Greatest Common Factor and Factoring by Grouping

Factor the trinomial.

Factor the trinomial.

Factor.

Factor the trinomial.

Solve the equation.

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

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

Factor the trinomial.

The shorter leg of a right triangle is 8 meters. The hypotenuse is 2meters longer than the longer leg. Find the length of the longer leg.

Factor the expression by taking out the greatest common factor.

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.

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

Factor the 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.

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

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. shorter leg: __________ inches longer leg: __________ inches

Factor the trinomial.

The shorter leg of a right triangle is 9 meters. The hypotenuse is 1 meter longer than the longer leg. Find the length of the longer leg. __________ meters

Factor by grouping.

Factor the trinomial.