Answer:
[tex] 4 {x}^{2} - 28x + 24[/tex]
Step-by-step 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:
[tex]4(x - 1)(x - 6) \\ = 4( {x}^{2} - 6x - x + 6) \\ = 4( {x}^{2} - 7x + 6) \\ = 4 {x}^{2} - 28x + 24[/tex]
