Question

Find the remainder when p(x) = x4 - 3x3 + 2x2 + 1 is divided by 2x - 1.​

Answer 1

Answer:

Step-by-step explanation:

You can do it by long division or remainder theorem, your wish but remainder theorem is faster.

Let g(x) = 2x - 1

Put g(x) = 0

2x - 1 = 0

x = 1/2

p(x) = x^4 - 3(x^3) + 2(x^2) + 1

p(x) = 1/2^4 - 3(1/2^3) + 2(1/2^2) + 1

p(x) = 1/16 - 3(1/8) + 2 (1/4) + 1

p(x) = 1/16 - 3/8 + 1/2 + 1

Take out the LCM and solve it further. You'll get the remainder.

Hope it helps! Ask if you have any doubt.