Question

a polynomial g(x) of degree zero is added to the polynomial 2x3 + 5x2 - 14x + 10 so that it becomes exactly divisible by 2x - 3. Find gx

Answer 1

Answer:

ExplanatioWhen degree is given zero,

it means that it is a normal number as  x˄0 = 1.

Hence when we divide 2 x ˄3 + 5 x ˄2 - 14x + 10 by 2x-3, we get an remainder of 7.

Thus 7 should be added so that 2 x ˄3 + 5 x ˄2 - 14x + 10

is exactly divisible by 2x-3. So we can say that g(x) =7