How do you factor completely: #x^2 + 5x + 6#?
You need to first find 2 number which multiply to make 6 and add to make 5. It is easiest to list the factor pairs of 6:
Therefore we use the numbers 2 and 3. it doesnt matter which way round they go in the brackets.
First, we need to find factors of 6. The factors of 6 are 1,2,3, and 6.
Now see the function.
Look at the factors. a must be 2 or 3, let's say a is 2, and b must be 3.