Factor 6t+9. Write your answer as a product with a whole number greater than 1.

Answer 1

First thing to do when we look at that equation is try to find a number that is greater than 1 and that we can factor both 6 and 9 with, and after thinking we find out that we have 3 as a factor for this equation that we can factor 6 to be 2 by dividing it by 3 and 9 to be 3 also by dividing it by 3 and replace them in the equation:

6t+9= (3*2t)+(3*3)= 3(2t+3)

Answer 2

3(2t + 3) is your answer!

3 is the greatest common factor so extract 3 from each term in the equation, 2t + 3 is what you have left, which goes inside the parentheses because there are no other common factors to take out. (:

Answer 3

Factor 6t+9. Write your answer as a product with a whole number greater than 1.

Background knowledge needed:

proficiency with multiplication facts.

factors

greatest common factor (GCF)

Step 1: Identify the GCF for the two numbers. The GCF is 3.

Explanation: 3 is the largest term that both 6 and 9 shares.

Remember factor trees?

6 9

1 * 6 1 * 9

2 * 3 3 * 3

Step 2: rewrite the expression. Place the 3 outside of the parentheses.

6/3 = 2 and 9/3 = 3 -- these are the terms you will use in the blank spaces below.

3( __t + ___)

3(2t+3) is the solution

Answer 4

6t+9=3*(2t+3)

3 and 2t+3 are whole numbers assuming t≥0