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How to factorise polynomial x^3-x^2 2x 2x^2?
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How to factorise polynomial x^3-x^2 2x 2x^2?
Factoring Polynomial x^3-x^2 2x 2x^2
Factoring a polynomial means to find its factors, which are expressions that can be multiplied together to give the original polynomial. In this case, we are given the polynomial:
x^3 - x^2 + 2x - 2x^2
Step 1: Factor out the greatest common factor
The first step is to factor out the greatest common factor of the polynomial. In this case, the greatest common factor is x^2, so we can write:
x^3 - x^2 + 2x - 2x^2 = x^2(x - 1 + 2x - 2)
Simplifying the expression in the brackets gives:
x^3 - x^2 + 2x - 2x^2 = x^2(3x - 1)
Step 2: Check for further factorization
At this point, we have factored the polynomial as much as possible. However, we can check if the expression inside the brackets can be factored further. In this case, we see that 3x - 1 cannot be factored any further, so we have our final answer:
x^3 - x^2 + 2x - 2x^2 = x^2(3x - 1)
Therefore, the polynomial x^3 - x^2 + 2x - 2x^2 can be factorized as x^2(3x - 1).
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How to factorise polynomial x^3-x^2 2x 2x^2?
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How to factorise polynomial x^3-x^2 2x 2x^2? 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 polynomial x^3-x^2 2x 2x^2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How to factorise polynomial x^3-x^2 2x 2x^2?.
How to factorise polynomial x^3-x^2 2x 2x^2? 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 polynomial x^3-x^2 2x 2x^2? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How to factorise polynomial x^3-x^2 2x 2x^2?.
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