Question

Divide the polynomial x³-6x²+2x-4 by 1-2x​

Answer 1

Step-by-step explanation:

f(x) = x3 – 6x2 + 2x – 4,

g(x) = 1 – 2x

Put g(x) = 0

⇒ 1 – 2x = 0

or

x = 1212

Remainder = f(1212)  

Now,  f(1212) = (1212)3 – 6(1212)2 + 2(1212) – 4  = 1 + 1818 – 4 – 3232  = −358

Answer 2

Answer:

f(x) = x3 – 6x2 + 2x – 4, g(x) = 1 – 2x

Put g(x) = 0

⇒ 1 – 2x = 0 or x = 1212

Remainder = f(1212)  Now,

f(1212) = (1212)3 – 6(1212)2 + 2(1212) – 4  

= 1 + 1818 – 4 – 3232  

=  −35/8