F(X) = X3 − 6x2 + 2x − 4, G(X) = 1 − 2x - Mathematics

Trang chủ » F(x)=x^3-6x^2+2x-4 G(x)=1-3x » F(X) = X3 − 6x2 + 2x − 4, G(X) = 1 − 2x - Mathematics

Có thể bạn quan tâm

English0CBSEEnglish Medium Class 9Question PapersQuestion PapersTextbook Solutions14493MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos352Time TablesSyllabusF(X) = X3 − 6x2 + 2x − 4, G(X) = 1 − 2x - Mathematics
Advertisements
Advertisements

Question

f(x) = x3 − 6x2 + 2x − 4, g(x) = 1 − 2x

Answer in Brief
Advertisements

SolutionShow Solution

Let us denote the given polynomials as

`f(x) = x^3 - 6x^2 + 2x - 4`

`g(x) = 1-2x`

`⇒ g(x) = -2 (x - 1/2)`

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(1/2) = (1/2)^3 -6 (1/2)^2 + 2(1/2) - 4`

` = 1/8 - 6 xx 1/4 + 2 xx 1/2 - 4`

` = 1/8 - 3/2 + 1 - 4`

` = 1/8 - 3/2 - 3`

`= - 35/8`

Now we will calculate remainder by actual division

So the remainder is `(-35)/8`.

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 5Q 4Q 6Chapter 6: Factorisation of Polynomials - Exercise 6.3 [Page 14]

APPEARS IN

RD Sharma Mathematics [English] Class 9Chapter 6 Factorisation of PolynomialsExercise 6.3 | Q 5 | 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 coefficient of x2 in the following:

`17 -2x + 7x^2`

Write the coefficient of x2 in the following:

`sqrt3x-7`

Identify polynomials in the following:

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

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`f(x)=0`

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

`g(x)=2x^3-7x+4`

x3 − 23x2 + 142x − 120

Factorize of the following polynomials:

4x3 + 20x2 + 33x + 18 given that 2x + 3 is a factor.

Factorise the following:

p² – 6p – 16

Factorise the following:

9 – 18x + 8x2

Which of the following has x – 1 as a factor?

Download the Shaalaa app from the Google Play Store 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×

Từ khóa » F(x)=x^3-6x^2+2x-4 G(x)=1-3x