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IB Higher Level Mathematics Project Roberto Thais The Rational Zeros 1. a) Graph in turn the following functions (take and ): (i) We find that the roots are: Therefore, the smallest positive root, expressed as a fraction is (ii) We find that the roots are: Therefore, the smallest positive root, expressed as a fraction is (iii) We find that the roots are: Therefore, the smallest positive root, expressed as a fraction is (iv) We find that the roots are: Therefore, the smallest positive root, expressed as a fraction is From these functions we can notice that the denominator of the x value at 0 of the smallest positive root is always the same as the first coefficient of the polynomial. While the second and fourth terms of the polynomials are kept constant, so does the numerator and the other two roots of the function keep constant. b) Now graph and find the...

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