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(a) Given a polynomial P(x)= axr-5x +bx +8, where a and b are constants. (x-4) is a factor of P(x) and when P(x) is divided by (x+1), the remainder is 15. (i) Find the values of a and b. (ii) Calculate the remainder when P(x) is divided by (2x +h), where h is the month of your birth in figure. (iii) Factorise P(x) completely.

(a) Given a polynomial P(x)= axr-5x +bx +8, where a and b are constants. (x-4) is a factor of P(x) and when P(x) is divided by (x+1), the remainder is 15. (i) Find the values of a and b. (ii) Calculate the remainder when P(x) is divided by (2x +h), where h is the month of your birth in figure. (iii) Factorise P(x) completely.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1. (a) Given a polynomial P(x)= ax - 5x + bx +8, where a and b are constants. (x-4) is a factor of P(x) and when P(x) is divided by (x +1), the remainder is 15. (i) Find the values of a and b. (ii) Calculate the remainder when P(x) is divided by (2x +h), where h is the month of your birth in figure. (iii) Factorise P(x) completely. (iv) Find the quotient in terms of k when P(x) is divided by (x-k).
Transcribed Image Text:Q1. (a) Given a polynomial P(x)= ax - 5x + bx +8, where a and b are constants. (x-4) is a factor of P(x) and when P(x) is divided by (x +1), the remainder is 15. (i) Find the values of a and b. (ii) Calculate the remainder when P(x) is divided by (2x +h), where h is the month of your birth in figure. (iii) Factorise P(x) completely. (iv) Find the quotient in terms of k when P(x) is divided by (x-k).
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