Question

Using remainder theorm find the remainder when p (x) = x3 - 6 x2 +2x - 4 is divided by (g) =1 - 2x​

Answer 1

Answer:

Remainder = (-35/8)

Step-by-step explanation:

p(x) = x³-6x²+2x-4                              g(x) = (1-2x)

Zero of g(x) => (1-2x) = 0               =>(-2x) = (-1)                 => x = (1/2)

p(1/2) = (1/2)³-6(1/2)²+2(1/2)-4  =  1/8-6(1/4)+1-4  =  1/8- 3/2-3  =  (1-12-24)/8

=  (-35/8)

Hence, the required remainder is (-35/8)

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