Answer:
3[tex]x^{2}[/tex]-9x-90
Step-by-step explanation:
If the x intercepts are 5 and 6 and the coefficient of is 3:
Create two brackets that satisfy this:
For 3, one bracket must contain 3x and the other x, eg: (3x-n)(x+m)
To let x=5 in the bracket (3x-n), imagine solving it as 3x=n, therefore n=15
To let x=-6 in the bracket (x+m), imagine solving it as x=-m, so m=-6
Therefore, you have (3x-15)(x+6)
To make this a quadratic, expand the terms to get: 3[tex]x^{2}[/tex]-9x-90
Hope this helped :)
