Find the polynomial g(x), Mathematics

Assignment Help:

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


Related Discussions:- Find the polynomial g(x)

Ratios, the ratio of boys to girls in the sixth grade is 2:3 if there are ...

the ratio of boys to girls in the sixth grade is 2:3 if there are 24 boys, how many are girls?

Calculate the area and circumference of a circle, Calculate the area and ci...

Calculate the area and circumference of a circle: Calculate the area and circumference of a circle with a 3" radius.  Solution: A =      πr2

Bar charts, I''m supposed to be writing a critique for my maths project whe...

I''m supposed to be writing a critique for my maths project where i compare the prices for different holidays. i don''t know what to write for a critique though, any tips on what w

How to adding rational expressions with common denominators, Adding Rationa...

Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators

Perform algebraic operation , Perform each of the following algebraic expr...

Perform each of the following algebraic expression as instruction says;- I.Multiply 5x+6m+4y by5 II.Divide 4ax+6ay-10az by 2a

Partial fractions - integration techniques, Partial Fractions - Integration...

Partial Fractions - Integration techniques In this part we are going to take a look at integrals of rational expressions of polynomials and again let's start this section out w

Evaluate the rational exponents, Evaluate each of the following.  (a) 2...

Evaluate each of the following.  (a) 25 1/2  (b) 32 1/5 Solution  (a) 25 1/2 Thus, here is what we are asking in this problem.                             2

Mss. Ann, I need marketing management sample assignment as a guide

I need marketing management sample assignment as a guide

Separable differential equations, We are here going to begin looking at non...

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd