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How to factorise cubic polynomial?
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How to factorise cubic polynomial?
Introduction: Factorising cubic polynomials is an essential skill that students must learn in mathematics. It is a process of breaking down a cubic polynomial into its factors. In this guide, we will explain the steps to factorise a cubic polynomial.
Steps to Factorise a Cubic Polynomial:
Summary: Factorising a cubic polynomial involves dividing the polynomial by a linear factor and then factorising the quadratic factor. It is an important skill that students must learn in mathematics.
Steps to Factorise a Cubic Polynomial:
- Divide the polynomial by a linear factor: The first step in factorising a cubic polynomial is to check if there is any linear factor. A linear factor is a factor of the form (x-a), where 'a' is a constant. If there is a linear factor, then divide the polynomial by that factor using synthetic division or long division method. For example, let's say we have to factorise the cubic polynomial x^3 - 3x^2 - 4x + 12. We can see that x-2 is a factor of this polynomial. So, dividing the polynomial by x-2, we get (x-2)(x^2-x-6).
- Factorise the quadratic factor: Once we have divided the polynomial by a linear factor, we are left with a quadratic factor. Factorise the quadratic factor using any method like splitting the middle term or using the quadratic formula. In our example, the quadratic factor is x^2-x-6, which can be factorised as (x-3)(x+2).
- Write the final factors: After factorising the quadratic factor, write the final factors of the cubic polynomial. In our example, the final factors are (x-2)(x-3)(x+2).
Summary: Factorising a cubic polynomial involves dividing the polynomial by a linear factor and then factorising the quadratic factor. It is an important skill that students must learn in mathematics.
Community Answer
How to factorise cubic polynomial?
U can use splitting the middle term method.
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How to factorise cubic polynomial?
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How to factorise cubic polynomial? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about How to factorise cubic polynomial? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How to factorise cubic polynomial?.
How to factorise cubic polynomial? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about How to factorise cubic polynomial? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How to factorise cubic polynomial?.
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