Question

find the remainder when p(x)=4x^3-12x^2+14x-3 is divided by x-1/2 and verify the result by actual division

Answer 1

Answer:

solution

p(x)=4x^3-12x^2+14x-3

dividers d(x)=x-1/2

comparing with x-c

c=1/2

p(c)=4×(1/2)^3-12×(1/2)^2+14×1/2-3

=4×1/8-12×1/4+7-3

=1/2-3+7-3

=1/2+7-6

=1/2+1

=3/2