The standard form for a quadratic is Ax^2+Bx+C. To split the middle first multiply A*C. So in this case 28*-21. Look for multiples of this number you get that add up to 37. You can do this in the calculator by typing (in this case) y= -588/x and looking at what you get in the table that is whole numbers. For this one the answer is -49 and +12
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It's a technique called split the middle.
The standard form for a quadratic is Ax^2+Bx+C. To split the middle first multiply A*C. So in this case 28*-21. Look for multiples of this number you get that add up to 37. You can do this in the calculator by typing (in this case) y= -588/x and looking at what you get in the table that is whole numbers. For this one the answer is -49 and +12
so then split the -37 into those two factors:
28s^2-49s+12s-21
Then group together the terms
(28s^2-49s)(+12s-21)
Then factor each set of parentheses
7s(4s-7)+3(4s-7)
Then you can factor out 4s-7
(4s-7)(7s+3)
^^ That's the answer.
(4x-7) (7x+3)