Q. 11 C5.0( 6 Votes )

(x – 1) is a fact

Answer :

We know that (x – 1) is a factor of the polynomial f(x) but it is not the factor of g(x).


Which means that, f(1) = 0 but g(1) ≠ 0.


But for (x - 1) to be a factor of the given options, when we put x=1 in the given functions we should get an answer as “0”.


So, for option (a), let F(x) = f(x) g(x)


To check whether (x – 1) is a factor of the polynomial F(x) we have to put x=1 in F(x) and see whether it gives us the answer as “0” or not.


F(1) = f(1) × g(1)


F(1) = 0 × g(1)


F(1) = 0


So, we can say that F(x) = f(x) g(x) is the polynomial whose factor is (x – 1).


(x – 1) will be the factor of f(x) g(x).


Hence the correct option is (a).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Let us check the West Bengal Mathematics

(x – 1) is a factWest Bengal Mathematics

Let us determine West Bengal Mathematics

Let us determine West Bengal Mathematics

In the polynomialWest Bengal Mathematics

Let us check the West Bengal Mathematics

Let us write the West Bengal Mathematics

Let us determine West Bengal Mathematics

If n2 West Bengal Mathematics

Both (x – 2) and West Bengal Mathematics