The polynomials P(x) and Q(x) are defined as: P(x) = x 3 + ax 2 + b
Question:
The polynomials P(x) and Q(x) are defined as:
P(x) = x3 + ax2 + b and Q(x) = x3 + bx2 + a.
It is given that (x − 2) is a factor of P(x) and that when Q(x) is divided by (x + 1) the remainder is −15.
a. Find the value of a and the value of b.
b. When a and b take these values, find the least possible value of P(x) − Q(x) as x varies.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
a Since x 2 is a factor of Px we have P2 0 Substituting x 2 into Px gives P2 ...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0 Reviews
10+ Question Solved
Related Book For 
Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook
ISBN: 9781108407199
1st Edition
Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey
Question Posted:
