Draw the curve for x^2-5x+6

In order to find the intercepts of this curve, we first need to factorise the quadratic equation. We need to find 2 numbers that add together to equal -5 and those two same numbers multiply together to equal 6. Possibilties for this are (-6,1) and (-3,-2). The latter is the answer as if we picked, (-6,1) then it would multiply together to give us -6. This means that the quadratic equation factorises to give us: x^2-5x+6 = (x-3)(x-2) To find the x intercepts we need to equate this to 0 and then solve. (x-3)(x-2)=0 therefore x=3, x=2. We can now draw this. Remember all x^2 curves look like a U shape.