Question

14. Check whether g(x) is a factor of p(x) or not, where p(x) = 8x3 - 6x2 - 4x +3.
g(x)= x/3 -1/4

Answer 1

Given, p(x)=x

3

−5x

2

+4x−3,

g(x)=x−2

=>x−2=0

=>x=2

Now, p(2) should be 0 if p(x) is a multiple of g(x)

Thus,

p(2)=2

3

−5(2)

2

+4(2)−3

=8−20+8−3

=−7

=8−20+8−3



=0

Thus, p(x) is not a multiple of g(x)