Question

using the remainder theorem find the remainder when f(x) is divided by g(x) and verify the result by actual divison f(x)=4x^4-3x^3-2x^2+x-7, g(x)=x-1

Answer 1

f(x) × g(x) = f

f(x)=4x^4-3x^3-2x^2+x-7, g(x)=x-1

5×4x^ ÷ 3-2x^6+7 = 567x