F(x) = 9x3 − 3x2 + X − 5, G(x) = X − 2 3 - Mathematics

English0CBSEEnglish Medium Class 9Question PapersQuestion PapersTextbook Solutions14493MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos352Time TablesSyllabusf(x) = 9x3 − 3x2 + x − 5, g(x) = x − 2 3 - Mathematics

Advertisements

Advertisements

Question

f(x) = 9x3 − 3x2 + x − 5, g(x) = \[x - \frac{2}{3}\]

Answer in Brief

Advertisements

SolutionShow Solution

Let us denote the given polynomials as

`f(x) = 9x^2 - 3x^2 + x -5`

`g(x) = x2/3`

We have to find the remainder when f(x) is divided by g(x).

By the remainder theorem, when f(x) is divided by g(x) the remainder is

`f(2/3) = 9(2/3)^2 - 3 (2/3)^2 + (2/3) - 5`

`= 9 xx 8 /27 - 3 xx 4/9 + 2/3 - 5`

` = 8/3 - 4/3 + 2/3 - 5`

`= -3`

Remainder by actual division

Remainder is −3

shaalaa.comFactorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0. Report Error Is there an error in this question or solution?Q 7Q 6Q 8Chapter 6: Factorisation of Polynomials - Exercise 6.3 [Page 14]

APPEARS IN

RD Sharma Mathematics [English] Class 9Chapter 6 Factorisation of PolynomialsExercise 6.3 | Q 7 | Page 14

Video TutorialsVIEW ALL [1]

• view Video Tutorials For All Subjects
• Factorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0.video tutorial00:16:07

RELATED QUESTIONS

Write the degrees of the following polynomials:

7

Identify polynomials in the following:

`g(x)=2x^3-3x^2+sqrtx-1`

Identify polynomials in the following:

`q(x)=2x^2-3x+4/x+2`

If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)

Find the values of a and b, if x2 − 4 is a factor of ax4 + 2x3 − 3x2 + bx − 4.

x3 − 10x2 − 53x − 42

Mark the correct alternative in each of the following:If x − 2 is a factor of x2 + 3ax − 2a, then a =

If x + 1 is a factor of the polynomial 2x2 + kx, then k =

Factorise the following:

a2 + 10a – 600

If (x + 5) and (x – 3) are the factors of ax2 + bx + c, then values of a, b and c are

Question Bank with Solutions

• Maharashtra State Board Question Bank with Solutions (Official)

Textbook Solutions

• Balbharati Solutions (Maharashtra)
• Samacheer Kalvi Solutions (Tamil Nadu)
• NCERT Solutions
• RD Sharma Solutions
• RD Sharma Class 10 Solutions
• RD Sharma Class 9 Solutions
• Lakhmir Singh Solutions
• TS Grewal Solutions
• ICSE Class 10 Solutions
• Selina ICSE Concise Solutions
• Frank ICSE Solutions
• ML Aggarwal Solutions

NCERT Solutions

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 12 Physics
• NCERT Solutions for Class 12 Chemistry
• NCERT Solutions for Class 12 Biology
• NCERT Solutions for Class 11 Maths
• NCERT Solutions for Class 11 Physics
• NCERT Solutions for Class 11 Chemistry
• NCERT Solutions for Class 11 Biology
• NCERT Solutions for Class 10 Maths
• NCERT Solutions for Class 10 Science
• NCERT Solutions for Class 9 Maths
• NCERT Solutions for Class 9 Science

Board / University Study Material

• CBSE Study Material
• Maharashtra State Board Study Material
• Tamil Nadu State Board Study Material
• CISCE ICSE / ISC Study Material
• Mumbai University Engineering Study Material

Question Paper Solutions

• CBSE Previous Year Question Papers With Solutions for Class 12 Arts
• CBSE Previous Year Question Papers With Solutions for Class 12 Commerce
• CBSE Previous Year Question Papers With Solutions for Class 12 Science
• CBSE Previous Year Question Papers With Solutions for Class 10
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Arts
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Commerce
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Science
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 10
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Arts
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Commerce
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Science
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 10

Other Resources

• Entrance Exams
• Video Tutorials
• Question Papers
• Question Bank Solutions
• Question Search (beta)
• Privacy Policy
• Terms and Conditions
• Contact Us
• About Us
• Shaalaa App
• Ad-free Subscriptions

© 2025 Shaalaa.com | Contact Us | Privacy PolicyShare 0 0 0 0 0Notifications

Select a course

CANCELEnglishहिंदीमराठीuserLoginCreate free accountemail:password:Log in Forgot password?CourseEnglish Medium Class 9 CBSE

• Home
• Class 1 - 4
• Class 5 - 8
• Class 9 - 10
• Class 11 - 12
• Entrance Exams
• Search by Text or Image
• Textbook Solutions
• Study Material
• Remove All Ads

• Change mode
• Log out

Use app×