Answer:
[tex]y= 3x^2-3x-90[/tex]
Step-by-step explanation:
Intercepts form of quadratic equation is
y= a(x-p) (x-q) where 'a' is the leading coefficient
p and q are the roots
Given that 6 and -5 are the roots
so p = 6 and q= -5
Leading coefficient a= 3
Plug in all the values in the equation
y= a(x-p) (x-q)
y= 3(x-6) (x-(-5))
y= 3(x-6) (x+5)
Now we multiply the parenthesis
[tex]y= 3(x^2+5x-6x-30)[/tex]
[tex]y= 3(x^2-x-30)[/tex]
Multiply 3 inside the parenthesis
[tex]y= 3x^2-3x-90[/tex]
