Answer:
Step-by-step explanation:
ax^2+ bx+c Is the basic formal. Here is a example
2x^2+7x+6
Step 1 mutiply a by c which is 2 times 6 which is 12
Step 2 Factor the product find a products who sum equals b
in this case we need a facor pair of 12 that adds up to 7
3 and 4 would be the factor pair because when you mutiply it equals 12 and when you add it equal 7
Step 3 replace b with the facor pair we just found
2x^2+ 4x+3x+6 is the new equation.
Step 4 factor by grouping first group terms (2x^2+4x) + (3x+6) next factor out monimals from each pair which is now 2x(x+2) + 3(x+2)
You can see the number left in the parentheses are the same that means we are doing it correctly
Now we regroup terms since both have a factor of (x+2) we can factor that out now we have (2x+3)(x+2) and that is the answer