Answer:
[tex]remainder=2802[/tex]
Step-by-step explanation:
Remainder Theorem: When a polynomial [tex]f(x)[/tex] is divided by [tex](x-a)[/tex] the remainder will be [tex]f(a)[/tex]
[tex]Here \ \ f(x)=x^3+6x^2-20x+450[/tex]
[tex]It\ is\ divided\ by\ (x-12)[/tex]
[tex]Then\ remainder =f(12)\\\\remainder=(12)^3+6(12)^2-20\times12+450\\\\remainder=1728+6\times144-240+450\\\\remainder=1728+864-240+450\\\\remainder=3042-240\\\\remainder=2802[/tex]
