Question

Use the remainder theorem to find the remainder when f(x) is divided by x-2. Then use the factor theorem to determine whether x-2 is a factor of f(x).

f(x)=2x^4-7x^3+15x-6
The remainder is_____.
Is x-2 a factor of f(x)=2x^4-7x^3+15x-6
Yes or No

Answer 1

they are asking you to find \(f(2)\)

Answer 2

\(x-2\) is a factor if and only if \(f(2)=0\)
the remainder is \(f(2)\)

Answer 3

@satellite73 the remainder is 2?? and is part 2 a yes or no?