Aashna, ax2 + bx + c
Multiply a(c), then find two factors that add to b.
Huh? Let me show you.
2(3) = 6. We need two factors of 6 that add to 5. It turns out that 2 + 3 = 5.
Let's see if you understand this. 2x + 3x = 5x, right?
2x2 + 5x + 3 = 2x2 + 2x + 3x + 3
What can we factor out of the first two terms? 2x.
2x2 + 2x = 2x(x + 1)
What about the last two terms?
3x + 3 = 3(x + 1)
Putting that all together...
2x2 + 2x + 3x + 3 = 2x(x + 1) + 3(x + 1) = (2x + 3)(x + 1)
