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Rational root test in PolynomialCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Rational root test in Polynomiala) Find the roots of constant term name them as P. b) Find the roots of leading coefficient ( term with highest degree) name them as ‘q’. c) Possible roots are $\pm$ P/q Examples : 1) Find the factors of 3x ^{3}  4x ^{2} 17x +6 Solution : Factors of 6 =P = 1,2,3,6 Leading coefficient = 3 Factors of 3 = q =1 , 3 Possible factors are p/q = $\pm$ 1,2,3,6,1/3,2/3 Now, use synthetic division with 1 As remainder is 0. (x 3) is one of the factor. As in synthetic division numbers below are 3, 5 and 2 (three numbers) So next polynomial will be 3x ^{2} + 5x 2 Find the factors of this using method of splitting term.
So the total factors of the given polynomial are (x 3)( 3x1)(x+2) _______________________________________________________________ 2) Find all possible rational xintercepts of x ^{4} + 2x ^{3} – 7x ^{2} – 8x + 12. Solution : Constant term = 12 ⇒ Factors of 12 = p = 1,2,3,4,6,12 Leading coefficient = q = 1 Possible factors are p/q = $\pm$ 1,2,3,4,6,12 = –12, –6, –4, –3, –2, –1, 1, 2, 3, 4, 6, 12 Polynomial • Degree of the Polynomial • Zeros of Polynomial • Remainder Theorem • Find remainder by Synthetic Division • Rational root test in Polynomial • Solved Examples on Polynomial Covid19 has affected physical interactions between people. Don't let it affect your learning.
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