Exam 5: The Greatest Common Factor and Factoring by Grouping

Factor the expression completely. Look first for 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.

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.

Solve the equation.

Solve the equation.

Factor the polynomial by grouping the terms together two at a time.

Solve the equation. __________

Factor the trinomial.

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

What polynomial, when factored, gives ?

Factor.

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

Factor the expression by taking out the greatest common factor.

Factor by grouping the first three terms together.

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.

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.