Question

Write the quadratic question whose roots are 1 and 6, and whose leading coefficient is 4

Answer 1

`4 {x}^(2) - 28x + 24`

Explanation:

Roots of the quadratic equation are 1 and 6

Therefore, (x - 1) & (x - 6) are factors.

Leading coefficient is: 4

Required quadratic equation is given as:

`4(x - 1)(x - 6) \\ = 4( {x}^(2) - 6x - x + 6) \\ = 4( {x}^(2) - 7x + 6) \\ = 4 {x}^(2) - 28x + 24`