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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