F(X) = 4x3 − 12x2 + 14x − 3, G(X) 2x − 1

Trang chủ » F(x)=4x^(3)-12x^(2)+14x-3 G(x)=2x-1 » F(X) = 4x3 − 12x2 + 14x − 3, G(X) 2x − 1

Có thể bạn quan tâm

English0CBSEEnglish Medium Class 9Question PapersQuestion PapersTextbook Solutions14493MCQ Online Mock TestsImportant SolutionsConcept Notes & Videos345Time TablesSyllabusF(X) = 4x3 − 12x2 + 14x − 3, G(X) 2x − 1 - Mathematics
Advertisements
Advertisements

Question

f(x) = 4x3 − 12x2 + 14x − 3, g(x) 2x − 1

Answer in Brief
Advertisements

SolutionShow Solution

Let us denote the given polynomials as

`f(x) = 4x^2 - 12x^3 - 12x^2 + 14x - 3,`

`g(x) = 2x - 1`

`⇒ 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) = 4(1/2)^3 - 12(1/2)^2 + 14 (1/2) - 3`

` = 4 xx 1/8 - 12 xx 1/4 + 14 xx 1/2 - 3`

` = 1/2 -3 + 7 - 3`

`= 3/2`

Now we will calculate the remainder by actual division

So the remainder by actual division is `3/2` .

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 4Q 3Q 5Chapter 6: Factorisation of Polynomials - Exercise 6.3 [Page 14]

APPEARS IN

RD Sharma Mathematics [English] Class 9Chapter 6 Factorisation of PolynomialsExercise 6.3 | Q 4 | 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

Identify polynomials in the following:

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

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

`f(x)=0`

Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x .

f(x) = 3x4 + 17x3 + 9x2 − 7x − 10; g(x) = x + 5

If both x + 1 and x − 1 are factors of ax3 + x2 − 2x + b, find the values of a and b.

What must be subtracted from x3 − 6x2 − 15x + 80 so that the result is exactly divisible by x2 + x − 12?

x4 − 2x3 − 7x2 + 8x + 12

If x + a is a factor of x4 − a2x2 + 3x − 6a, then a =

If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is

Factorise the following:

t² + 72 – 17t

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)=4x^(3)-12x^(2)+14x-3 G(x)=2x-1