• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • ICSE Solutions
    • ICSE Solutions for Class 10
    • ICSE Solutions for Class 9
    • ICSE Solutions for Class 8
    • ICSE Solutions for Class 7
    • ICSE Solutions for Class 6
  • Selina Solutions
  • ML Aggarwal Solutions
  • ISC & ICSE Papers
    • ICSE Previous Year Question Papers Class 10
    • ISC Previous Year Question Papers
    • ICSE Specimen Paper 2021-2022 Class 10 Solved
    • ICSE Specimen Papers 2020 for Class 9
    • ISC Specimen Papers 2020 for Class 12
    • ISC Specimen Papers 2020 for Class 11
    • ICSE Time Table 2020 Class 10
    • ISC Time Table 2020 Class 12
  • Maths
    • Merit Batch

A Plus Topper

Improve your Grades

  • CBSE Sample Papers
  • HSSLive
    • HSSLive Plus Two
    • HSSLive Plus One
    • Kerala SSLC
  • Exams
  • NCERT Solutions for Class 10 Maths
  • NIOS
  • Chemistry
  • Physics
  • ICSE Books

Solving Polynomials Equations of Higher Degree

December 9, 2020 by sastry

Solving Polynomials Equations of Higher Degree

Solving Polynomials Equations of Higher Degree 1

When the powers in polynomial equations increase, it becomes more difficult to find their solutions (roots).

Consider an equation such as

Solving Polynomials Equations of Higher Degree 2

Finding the roots of an equation such as this can prove to be quite a task. In this course, we will just be touching the surface on techniques for solving higher degree polynomial equations.

Let’s be sure that we understand the vocabulary associated with this type of task.

The following statements are different ways of
asking the same thing!!

  • Solve the polynomial equation P(x) = 0.
  • Find the roots of the polynomial equation P(x) = 0.
  • Find the zeroes of the polynomial function P(x) (P(x) = 0).
  • Factor the polynomial function P(x) = 0 and express the roots.

Read More:

  • What is a Polynomial?
  • Types of Polynomials
  • Monomials, Binomials, and Polynomials
  • Adding Polynomials
  • Subtracting Polynomials
  • Dividing Polynomials
  • Polynomials – Long Division
  • Degree (of an Expression)
  • Special Binomial Products
  • Multiplying Binomials
  • Difference of Two Cubes
  • Polynomial Remainder Theorem

How many roots should we expect to find? A polynomial of degree n will have n roots, some of which may be multiple roots (they repeat). For example,
Solving Polynomials Equations of Higher Degree 3

is a polynomial of degree 3 (highest power) and as such will have 3 roots. This equation is really (x-1)(x-4)(x-4) = 0 giving solutions of x = 1 and x = 4 (repeated).

Examples:

Solving Polynomials Equations of Higher Degree 4
Solving Polynomials Equations of Higher Degree 5
Solving Polynomials Equations of Higher Degree 6

Read More:

  • Factoring in Algebra
  • Factorization of Polynomials Using Factor Theorem
  • How do you use the factor theorem?
  • How to factorise a polynomial by splitting the middle term?
  • Review Factoring Polynomials
  • Zeros of a Polynomial Function
  • Factors and Coefficients of a Polynomial
  • Roots of Polynomials: Sums and Products
  • Examining Graphs of Polynomial Equations of Higher Degree

Filed Under: Mathematics Tagged With: Solving Polynomials Equations of Higher Degree

Primary Sidebar

  • MCQ Questions
  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • ICSE Solutions
  • Selina ICSE Solutions
  • Concise Mathematics Class 10 ICSE Solutions
  • Concise Physics Class 10 ICSE Solutions
  • Concise Chemistry Class 10 ICSE Solutions
  • Concise Biology Class 10 ICSE Solutions
  • Concise Mathematics Class 9 ICSE Solutions
  • Concise Physics Class 9 ICSE Solutions
  • Concise Chemistry Class 9 ICSE Solutions
  • Concise Biology Class 9 ICSE Solutions
  • ML Aggarwal Solutions
  • ML Aggarwal Class 10 Solutions
  • ML Aggarwal Class 9 Solutions
  • ML Aggarwal Class 8 Solutions
  • ML Aggarwal Class 7 Solutions
  • ML Aggarwal Class 6 Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC

Recent Posts

  • Air Pollution Essay for Students and Kids in English
  • 10 Lines on Satya Nadella for Students and Children in English
  • Essay on Wonders of Science | Wonders of Science for Students and Children in English
  • My Childhood Memories Essay | Essay on My Childhood Memories for Students and Children in English
  • Essay On Sports And Games | Sports And Games Essay for Students and Children in English
  • Clean India Slogans | Unique and Catchy Clean India Slogans in English
  • Animals that Start with Z | Listed with Pictures, List of Animals Starting with Z & Interesting Facts
  • Positive Words That Start With S | List of Positive Words Starting With S Meaning, Examples,Pictures and Facts
  • Positive Words that Start with B | List of 60 Positive Words Starting with B Pictures and Facts
  • Humanity Essay | Essay on Humanity for Students and Children in English
  • Teenage Pregnancy Essay | Essay on Teenage Pregnancy for Students and Children in English

Footer

  • RS Aggarwal Solutions
  • RS Aggarwal Solutions Class 10
  • RS Aggarwal Solutions Class 9
  • RS Aggarwal Solutions Class 8
  • RS Aggarwal Solutions Class 7
  • RS Aggarwal Solutions Class 6
  • Picture Dictionary
  • English Speech
  • ICSE Solutions
  • Selina ICSE Solutions
  • ML Aggarwal Solutions
  • HSSLive Plus One
  • HSSLive Plus Two
  • Kerala SSLC
  • Distance Education
DisclaimerPrivacy Policy
Area Volume Calculator