Find the polynomial g(x), Mathematics

On dividing the polynomial 4x4 - 5x3 - 39x2 - 46x - 2 by the polynomial g(x) the quotient is x2 - 3x - 5 and the remainder is -5x + 8.Find the polynomial g(x). (Ans:4 x2+7x+2)

Ans:    p(x) = g (x) q (x) + r (x)

g(x) =px) - rx)/q( x)

let p(x) = 4x4 - 5x3 - 39x2 - 46x - 2 q(x) = x2 - 3x - 5 and r (x) = -5x + 8

now p(x) - r(x) = 4x4 - 5x3 - 39x2 - 41x - 10

when px) - rx)/qx)

∴ g(x) = 4x2 + 7x + 2

= 4x2 + 7x +2

Posted Date: 4/8/2013 1:53:26 AM | Location : United States







Related Discussions:- Find the polynomial g(x), Assignment Help, Ask Question on Find the polynomial g(x), Get Answer, Expert's Help, Find the polynomial g(x) Discussions

Write discussion on Find the polynomial g(x)
Your posts are moderated
Related Questions

poijn jjjnjb jbjdbjbj

Raghav buys a shop for Rs.1,20,000.He pays half the balance of the amount in cash and agrees to pay the balance in 12 annual instalments of Rs.5000 each. If the rate of interest is

hi i would like to ask you what is the answer for [-9]=[=5] grade 7

Prime number A prime number is a number whose only +ve factors are 1 and itself. For instance 2, 3, 5, and 7 are all of the examples of prime numbers.  Examples of numbers whic

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b


A digital filter has zero at z=a and poles at z=b andz=c, where a, b, c are the real constants. Determine the transfer function and the frequency response function of the filter an

It is difficult to produce the individual answers and the insights that they were providing. But, let's look at some broad patterns that we found, which are similar to those that o