Answer:
The remainder is -64
Step-by-step explanation:
Given
[tex]7x^2 - x^3[/tex]
Divided by [tex]x - 8[/tex]
Required
Determine the remainder
Equate [tex]x - 8[/tex] to 0
[tex]x - 8 = 0[/tex]
Solve for x
[tex]x = 8[/tex]
Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]
So, we have:
[tex]7 * 8^2 - 8^3[/tex]
Evaluate all exponents
[tex]7 * 64 - 512[/tex]
[tex]448 - 512[/tex]
[tex]-64[/tex]
