2.(iii) Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:

   (iii)    p(x) = x^3 - 4x^2 + x + 6, \ g(x) = x - 3

Answers (1)

Zero of polynomial  g(x)=x-3  is  3

If  g(x)=x-3  is factor of polynomial  p(x) = x^3 - 4x^2 + x + 6 

Then,  p(3)  must be equal to zero 

Now,

\Rightarrow p(3) = (3)^3 - 4(3)^2 + 3 + 6

\Rightarrow p(3) = 27-36+3+6=0

Therefore,  g(x)=x-3   is a factor of polynomial  p(x) = x^3 - 4x^2 + x + 6

Preparation Products

Knockout KCET 2021

An exhaustive E-learning program for the complete preparation of KCET exam..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout KCET JEE Main 2021

It is an exhaustive preparation module made exclusively for cracking JEE & KCET.

₹ 27999/- ₹ 16999/-
Buy Now
Knockout NEET Sept 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
Buy Now
Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
Buy Now
Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
Buy Now
Exams
Articles
Questions