Algebraic Expression Factored Form

An algebraic expression in which no part of the expression can be made simpler by pulling out a common factor

• factored form

• constant

• prime factor

• coefficient

True or false...using the distributive property, 6(x + 2) = 6x + 12

• True

• False

Write in factored form.

12x + 20

• 2(6x + 10)

• 3(4x + 5)

• 4(3x + 20)

• 4(3x + 5)

2 times the difference of t and 11

• 2t - 11

• 2(t - 11) 

• 2(t / 11)

• 2 x t - 11

Using the GCF, what is the factored form of 18f - 45

• 3(6f - 15)

• 9(2f - 5)

• 6(3f - 5)

• 18(f - 3.5)

-3(2c - 5)

• -6c - 15

• -6c + 15

• 6c + 15

• 6c - 15

-4(k - 7)

• -4k + 28

• -4k - 28

• 4k + 28

• 4k - 28

Which of the following is the first step in multiplying rational algebraic expression?

• Write the numerator and denominator in factored form
  

• Multiplying the remaining factors
  

• Cancel common factors
  

• Check to see if you can reduce it again