Browse by Stream
Discuss Doubts
Home
Search for Exam, Articles, Questions
get app
Go To Your Study Dashboard
  1. Home
  2. If X+2 is the factor of P of X= ax3(read as a xcube) +bx2(read as bxsquare) +x -6 and when divided by x-2 ,leaves a reminder 4 prove that a=0, b=2
# School

If X+2 is the factor of P of X= ax3(read as a xcube) +bx2(read as bxsquare) +x -6 and when divided by x-2 ,leaves a reminder 4 prove that a=0, b=2

Answers (1)
R Ravindra Pindel

P(x) = ax3+bx2+x-6

As x+2 is factro so P(-2) =0

P(-2) = a(-2)3+b(-2)2-2-6=0

-8a+4b=8...(i)

P(2) = 4

P(2) = a(2)3+b(2)2+2-6=4

8a +4b =8..(ii)

Equation (i)  + Equation(ii)

8b=16

b=2

So, a=0

Similar Questions

Preparation Products

Knockout NEET July 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 July 2020

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

₹ 12999/- ₹ 6999/-
Buy Now
Test Series NEET July 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 2999/-
Buy Now
Knockout NEET May 2021

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

₹ 22999/- ₹ 11999/-
Buy Now
Exams
Articles
Questions