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The Rational root of the equation 2x power 3- x square - 4x+2=0?
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The Rational root of the equation 2x power 3- x square - 4x+2=0?
Analysis of Rational Roots of the Equation
To find the rational roots of the equation 2x^3 - x^2 - 4x + 2 = 0, we can use the Rational Root Theorem. This theorem states that any rational root of the equation must be a factor of the constant term divided by a factor of the leading coefficient. In this case, the constant term is 2 and the leading coefficient is 2.
Factors of the Constant Term:
- The factors of 2 are ±1, ±2
- Therefore, the possible rational roots are ±1, ±2
Factors of the Leading Coefficient:
- The factors of 2 are ±1, ±2
- Therefore, the possible rational roots are ±1, ±2
Testing the Possible Roots:
- We can substitute each possible root into the equation to see if it satisfies the equation.
- By testing the values, we find that x = 1 is a root of the equation.
Therefore, the Rational Root of the Equation is x = 1.
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The Rational root of the equation 2x power 3- x square - 4x+2=0?
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The Rational root of the equation 2x power 3- x square - 4x+2=0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The Rational root of the equation 2x power 3- x square - 4x+2=0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Rational root of the equation 2x power 3- x square - 4x+2=0?.
The Rational root of the equation 2x power 3- x square - 4x+2=0? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The Rational root of the equation 2x power 3- x square - 4x+2=0? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Rational root of the equation 2x power 3- x square - 4x+2=0?.
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