Question

Find the equation of a polynomial that has the roots 3,2, and -1 and goes through the point 1,1

Answer 1

reverse engineer the quadratic equation to fit specs

Answer 2

y = a(x-3)(x-2)(x+1)

Answer 3

@ dumbcow
What do I do with "a"?

Answer 4

its a constant we solve for it by putting in the x and y values from the point (1,1)
1=a(1-3)(1-2)(1+1)

Answer 5

Oh I see. I thought I could just add one on to the equation y=(X-3)....
This makes sense. Thank you.

Answer 6

no problem

Answer 7

@ dumbcow.
Just finished the problem... It works!

Answer 8

u could also use
-b/a = x1+x2 and c/a = x1x2
and solve for a and b or c then use the fact that f[1]=1 to find c or b