View Factoring Out the Greatest Common Factor - GAMMA+

The learner will factor out the greatest common factor of an algebraic expression.

Randomize Questions Randomize Answers

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$5a+5b$

$5b\left ( a+1\right )$
$5\left ( a+b\right )$
$5a\left ( 1+b\right )$
$5\left ( a-b\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$x^{2}-13x$

$x\left ( x+13\right )$
$x\left ( x-13\right )$
$x^{2}\left ( x-13\right )$
$13x\left ( x-1\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$4m^{3}+9m^{2}$

$m^{2}\left ( 4+9m\right )$
$m^{2}\left ( 4m+9\right )$
$m^{3}\left ( 4m+9\right )$
$m^{2}\left ( 4m-9\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$7x\left ( x-4\right )+9\left ( x-4\right )$

$\left ( x-4\right )\left ( 7x+9\right )$
$\left ( x-4\right )\left ( 7x-9\right )$
$7x^{2}-19x-36$
$63x\left ( x-4\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$9a^{2}-3a^{4}$

$3a\left ( 3a-a^{3}\right )$
$3a^{2}\left ( 3-a^{2}\right )$
$3a^{2}\left ( 3a^{2}-1\right )$
$a^{2}\left ( 9-3a^{2}\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$2ax+14a+16x$

$2ax\left ( 1+7a+8x\right )$
$2\left ( ax+7a+8x\right )$
$2a\left ( x+7+8a\right )$
$2x\left ( a+7x+8\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$5x^{3}-25x^{2}-15x$

$x\left ( 5x^{2}-25x-15\right )$
$5x^{3}\left ( 1-5x-3x^{2}\right )$
$5x\left ( x^{2}-5x-3\right )$
$5\left ( x^{3}-5x^{2}-3x\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$6m^{2}-18m^{3}+42m^{4}$

$6m^{2}\left ( 1-3m+7m^{2}\right )$
$6\left ( m^{2}-3m^{3}+7m^{4}\right )$
$6m\left ( m-3m^{2}+7m^{3}\right )$
$m^{2}\left ( 6-18m+42m^{2}\right )$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$7a\left ( 4a-5b\right )+3b\left ( 4a-5b\right )$

$21ab\left ( 4a-5b\right )$
$\left ( 4a-5b\right )\left ( 7a+3b\right )$
$10ab\left ( 4a-5b\right )$
$\left ( 4a-5b\right )(7a+b)$

Question 1 of 10

Factoring Out the Greatest Common Factor

Factor the following expression completely.

$5x\left ( 3x+y\right )+y\left ( 3x+y\right )$

$\left ( 3x+y\right )\left ( 5x+1\right )$
$6xy\left ( 3x+y\right )$
$5xy\left ( 3x+y\right )$
$\left ( 3x+y\right )\left ( 5x+y\right )$

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

Tags

Download as Word Document Download SCORM Package

No Comments Yet

Creative Commons License

Factoring Out the Greatest Common Factor by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.