Question

Write the quadratic equation whose roots are six and -2 and who’s leading coefficient is 3 use the letter X to represent the variable

Answer 1

`3X^(2) - 12X - 36 = 0`

Explanation:

6 and - 2 are the only two solutions to the required quadratic equation.

So, if the variable is represented by X then (X - 6) and (X + 2) will be the only two factors of the polynomial function.

Therefore, the equation is

(X - 6)(X + 2) = 0

⇒
`X^(2) - 4X - 12 = 0`

If the leading coefficient of the equation is 3 then we can write the equation as
`3X^(2) - 12X - 36 = 0` (Answer)