Question

if f x = 2 X raised to the power 4 - 2 x cube + 3 x square - a x minus b when divided by X - 1 the remainder is 6 then find the value of a + b

Answer 1

By remainder theorem Since fx when divided by x-1 is 6 X-1=0. => x=1 F(1) = 2*1^4-2*1^3+3*1^2-a*1-b =6 2-2+3-a-b =6 3-(a+b)=6 a+b = -(6-3)=-3