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Using Rational Zero Theorem for finding Roots of a Polynomial

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Use the Rational Zero Theorem to find all zeros of the following polynomials.

a. f(x)=3x^4−11x^3+10x−4

b. f(x)=4x^3−3x−1

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The solution provides detailed step-by-step analysis as how to find out the roots of polynomials using the Rational Zero Theorem.

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Use the Rational Zero Theorem to find all zeros.
a. f(x)=3x^4−11x^3+10x−4

Solution:

The only possible rational zeros of f(x) are the quotients of the factors of the last term, -4, and the factors of the leading coefficient, 3.

The constant term is -4; the ...

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  • MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
  • BSc, Banaras Hindu University
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