A quadratic equation is an equation where the highest power is 2. To solve a quadratic equation we must make it equal zero.
x²+5x+6
To factorise this quadratic you have to find 2 numbers that multiply together to make the end number (6) and add to make the middle number (5). These numbers would be 2 & 3. Therefore, the solution would be
(x+2)(x+3)
To check this is correct you multiply out the brackets.
x*x= x²
2x+3x=5x
2*3=6
x²+5x+6
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