Mathematics
Jcnic04
22

Complete the steps to solve the polynomial equation x^3 – 21x = –20. According to the rational root theorem, which number is a potential root of the polynomial? –7 0 1 3

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(1) Answers
CassKnight

x^3 - 21x = -20 add 20 to both sides x^3 - 21 x + 20 = 0 Rational Root Theorem: Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20 -------------------------------       Factors of Q (leading Coefficient) = 1 Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1 Of the choices given only the number 1 is a possible root.

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