Question

Write the quadratic equation whose roots are 2 and -6, and whose leading coefficient is 2.

Answer 1

f(x) = 2x^2 +8x - 24

Explanation:

Let's use the clues:

roots are 2 and -6 in factor form will be

(x-root1) ( x-root2) = (x-2)(x+6) = x^2 +6x -2x-12= x^2 +4x -12

But the leading coeficient here is 1 and we needet to be 2 so just mltiply the whole eq. by 2

2 (x^2 +4x -12) = 2x^2 +8x - 24