Factoring by Grouping in Algebra

What is the common monomial factor in the first two terms of the polynomial a(b + c) + 6(b + c)?

• a

• b

• c

• 6

After factoring out the common monomial in the first example, what is the common binomial factor?

• b + c

• a + 6

• a + b

• 6b + 6c

In the second example, what is the common monomial factor of m^2 - 2mn?

• 2

• n

• mn

• m

What is the other factor when you factor out m from m^2 - 2mn?

• m + 2n

• n + 2m

• n - 2m

• m - 2n

In the third example, what is the common monomial factor of 15m^3 + 3m^2?

• 15m^2

• 15m

• 3m^2

• 3m

What is the other factor when you factor out 3m^2 from 15m^3 + 3m^2?

• 5m + 1

• 5m - 1

• m + 5

• m - 5

In the fourth example, what is the greatest common monomial factor of 12m - 8?

• 6

• 4

• 2

• 8

What is the other factor when you factor out 4 from 12m - 8?

• m + 2

• 3m + 2

• 3m - 2

• m - 2

What is the common monomial factor of -3mn + 2n in the fourth example?

• n

• -n

• -3

• 2

What is the other factor when you factor out -n from -3mn + 2n?

• m + 2

• 3m - 2

• 3m + 2

• m - 2