Factor 9s+12. 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 we can factor both 9 and 12 with and after thinking we find out that we have 3 as a factor for this equation that we can factor 9 to be 3 by dividing it by 3 and 12 to be 4 also by dividing it by 3 and replace them in the equation:

9S+12= (3*3S)+(3*4)= 3(3S+4)

Answer 2

Find the highest common factor (HCF) of 9 and 12 so 9=3*3 and 12=3*4. This gives us 3 as the HCF of 3 and 12. Take it out as a common factor.

9s+12 = 3(3s+4)

Answer 3

When factoring 9s + 12, we need to see if there is a common factor between our numbers that we can factor out of our expression. In this math question, both 9 and 12 have a factor of 3. Therefore, we can take the factor 3 and place it on the outside of our expression, so it looks like this: 3(_s + _). We then think of what we would need to multiply by 3 in order to get our original numbers. Since 3x3 = 9, and 3x4 = 12, we can complete our factorization as follows 3(3s + 4).

If we were to distribute to check our work, we would multiply what is on the outside by what is on the inside. First, 3x3s = 9s, and 3x4 = 12, with an addition sign in between. That is 9s + 12, which is our original expression, so we know we have solved the question correctly.

Answer 4

9S+12=3*3S+3*4=3*(3S+4)