Question

The number to be subtracted from 2X3 + X2 - 13X + 9 to obtain a polinomial which is exactly divisible by ( 2X - 1 ) is​

Answer 1

Answer:

Given: f(x)=x

4

+2x

3

−13x

2

−12x+21

g(x)=x

2

−4x+3

By division algorithm

f(x)=q(x)×g(x)+r(x)

g(x)=

q(x)

f(x)−r(x)

So. r(x) must be subtracted so, that result is exactly divisible by x

2

−4x+3.

2x−3 must be subtracted from f (x), so that result is exactly divisible by x

2

−4x+3.