Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case: (i) p(x) = 2x ^3 + x ^2 - 2x - 1, g(x) = x + 1

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

    (i)    p(x) = 2x^3 + x^2 - 2x - 1,\ g(x) = x + 1

Answers (1)

best_answer

Zero of polynomial  g(x)=x+1  is  -1

If  g(x)=x+1  is factor of polynomial  p(x) = 2x^3 + x^2 - 2x - 1 

Then,  p(-1)  must be equal to zero 

Now,

\Rightarrow p(-1)= 2(-1)^3+(-1)^2-2(-1)-1

\Rightarrow p(-1)= -2+1+2-1 = 0

Therefore,  g(x)=x+1   is factor of polynomial  p(x) = 2x^3 + x^2 - 2x - 1

Posted by

Gautam harsolia

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper

Latest Question