CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

On dividing the polynomial f(x)=x33x2+x+2 by a polynomial g(x), the quotient q(x) and remainder r(x) are x-2 and -2x+4 respectively. Find the polynomial g(x). [4 MARKS]


Solution

Concept : 1 Mark
Application : 1 Mark
Calculation : 2 Marks

By division algorithm, we have

f(x)=g(x)×q(x)+r(x)

g(x)×q(x)=f(x)r(x)

g(x)(x2)=x33x2+x+2(2x+4)

g(x)(x2)=x33x2+3x2

Thus, g(x) is a factor of x33x2+3x2 other than the factor (x2).

So, to get g(x), we divide x33x2+3x2 by (x2)


Hence, g(x)=x2x+1

 

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image