If r and s are the roots of the equation x^2+bx+c=0 where b

[WendyH75]

[Question text removed]

Could you please explain the approach for this question? I understand x^2+bx+c=0 is a qua eq but I didn't get to the part you'd multiply out (x-r)(x-s) what should be the thinking process for this question?

Many thanks,

Wendy

[Sage Pearce-Higgins]

You can't post problems from the Official Guide here as they are copyright. Please read the forum guidelines before posting.

However, there's a nice explanation in the Navigator software https://www.manhattanprep.com/atlas/path/147/unit/151
Hint: when you see a quadratic, remember that to factorize it you need two numbers that multiply to make c and sum to make b.