Question

Find the remainder when p(x) = x³-6x²+14x-3
is divided by g(x) = 1-2x and verify the
result by long division.
​

Answer 1

Step-by-step explanation:

p(x) = x³-6x²+14x-3

g(x) = 1-2x

g(x) = 1 -2x = 0

-2x = 0 - 1

-2x = -1

x = -1/-2

x = 1/2

p(1/2) = (1/2) ^ 3 - 6 ×(1/2) ^2 + 14 × 1/2 - 3

= 1/8 -6×1/4 + 7 - 3

= 1/8 - 3/2 +4

= 0.125 - 1.5 +4

= -1.375 +4

= 2.625