Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org
• Polynomials
• Factoring Polynomials
• Factoring using the greatest common factor

# Factoring using the greatest common factor

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
4
5
6
+
1
2
3
=
0
.
auto next question
calculator
•  Question 1: 1 pts Find the greatest common factor of all the terms in the polynomial $x^{2}-5x.$
The GCF of $x^{2}$ and $5x$ is
•  Question 2: 1 pts Factor out the greatest common factor in $6x-12.$
 $2 (6-x)$ $6 (2-x)$ $6 (x-2)$ $2 (x-6)$
•  Question 3: 1 pts Factor out the greatest common factor in $1+2n^{2}.$
 $1-2n^{2}$ $1+2n$ $1+2n^{2}$ none of these
•  Question 4: 1 pts Factor out the greatest common factor in $70x-50y.$
 $12 (x-5y)$ $20 (x-y)$ $10(x-y)$ $10(7x-5y)$
•  Question 5: 2 pts Find the greatest common factor of all the terms in the polynomial $x^{2}y^{2}-3xy^{2}.$
The GCF of $x^{2}y^{2}$ and $3xy^{2}$ is
•  Question 6: 2 pts $3x^{3}y-6x^{2}y^{2}-3xy=3xy(x^{2}-2xy).$
•  Question 7: 2 pts Factor out the greatest common factor in $30m^{6}+15mn^{2}-25.$
 $5(6m^{6}+mn-5)$ $5(6m^{6}+3m^{2}n-5^{2})$ $5(6m^{6}+3mn^{2}-5)$ $5(6m^{6}+3m^{2}n-5)$
•  Question 8: 2 pts Factor out the greatest common factor in $42w^{3}-14w+77w^{5}.$
 $7w(6w^{2}-2+11w^{4})$ $6w(7w^{2}-2w+11w^{4})$ $7w(6w^{2}-2w+11w^{3})$ $7(7w^{2}-2w+11w^{4})$
•  Question 9: 3 pts Find the greatest common factor of all the terms in the polynomial $-144p^{5}q-12p^{3}-6p.$
The GCF of $-144p^{5}q-12p^{3}-6p$ is
•  Question 10: 3 pts Factor out the greatest common factor in $24k^{3}s^{2}+12k^{2}s^{5}-48k^{2}s^{3}.$
 $12k^{2}s^{3}(2k+s^{3}-4s)$ $12k^{3}s^{2}(2k+s^{3}-4s)$ $12k^{2}s^{2}(2k-s^{3}+4s)$ $12k^{2}s^{2}(2k+s^{3}-4s)$
•  Question 11: 3 pts Factor out the greatest common factor in $-32mn^{8}+4m^{6}n+12mn^{4}+16mn.$
 $2mn(-8n^{7}+m^{5}+3n^{3}+4)$ $4mn(-8n^{7}+m^{5}+3n^{3}+4)$ $4m(-8n^{7}+m^{5}+3n^{3}+4)$ $4mn(-8n^{7}+m^{5}+3n^{3}-4)$
•  Question 12: 3 pts Factor out the greatest common factor in $-10y^{7}+6y^{10}-4y^{10}x-8y^{8}x.$
 $-2y^{2}(5-3y^{3}+2xy^{3}+4xy)$ $2y^{7}(5-3y^{3}+2xy^{3}-4xy)$ $-2y^{7}(5-3y^{3}+2xy^{3}+4xy)$ $-2y^{7}(5-3y^{3}+2xy^{3}-4xy)$