Question

f(x)=4x3-12x2+11x-3 by using g(x)=x+1/2​

Answer 1

f(x) = 4x3 – 12x2 + 14x – 3, g(x) = 2x – 1

Put g(x) = 0 ⇒ 2x - 1 = 0 or x = 1212

Remainder = f(1212) Now, f(1212) = 4(1212)3 – 12(1212)2 +

14(1212) – 3 = 1212 – 3 + 7 – 3 = 3232