Question

Write the quadratic equation whose roots are 1 and -1 , and whose leading coefficient is 5

Answer 1

Eyeball problem. You should do this as quickly as you can read the problem.

root 1

Factor (x-1)

root -1

factor (x+1)

Leading coefficient 5

5(x-1)(x+1) = 0

Done.

Answer 2

I got that far, but the example as for the solution to be in a format like ?x^2-?x+?=0

Answer 3

Is there such a demand. My final form is most definitely a "Quadratic Equation".

It will be a difference of squares (without the 5). Multiplying the factors should be within your skillset. Is it?