Exam 5: The Greatest Common Factor and Factoring by Grouping

If one of the factors of is , what is the other 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 by grouping the first three terms together.

Factor the trinomial.

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

Factor the expression by taking out the greatest common factor.

Factor by first factoring out the greatest common factor.

Factor the trinomial.

Solve the equation.

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

Solve the equation.

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

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

Factor.

The product of two consecutive even integers is 56 less than 8 times their sum. Find the two integers.

Factor by grouping.

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 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 trinomial.